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981,120

981,120 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

981,120 (nine hundred eighty-one thousand one hundred twenty) is an even 6-digit number. It is a composite number with 128 divisors, and factors as 2⁷ × 3 × 5 × 7 × 73. Its proper divisors sum to 2,641,920, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEF880.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
21,189
Recamán's sequence
a(324,171) = 981,120
Square (n²)
962,596,454,400
Cube (n³)
944,422,633,340,928,000
Divisor count
128
σ(n) — sum of divisors
3,623,040
φ(n) — Euler's totient
221,184
Sum of prime factors
102

Primality

Prime factorization: 2 7 × 3 × 5 × 7 × 73

Nearest primes: 981,091 (−29) · 981,133 (+13)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 28 · 30 · 32 · 35 · 40 · 42 · 48 · 56 · 60 · 64 · 70 · 73 · 80 · 84 · 96 · 105 · 112 · 120 · 128 · 140 · 146 · 160 · 168 · 192 · 210 · 219 · 224 · 240 · 280 · 292 · 320 · 336 · 365 · 384 · 420 · 438 · 448 · 480 · 511 · 560 · 584 · 640 · 672 · 730 · 840 · 876 · 896 · 960 · 1022 · 1095 · 1120 · 1168 · 1344 · 1460 · 1533 · 1680 · 1752 · 1920 · 2044 · 2190 · 2240 · 2336 · 2555 · 2688 · 2920 · 3066 · 3360 · 3504 · 4088 · 4380 · 4480 · 4672 · 5110 · 5840 · 6132 · 6720 · 7008 · 7665 · 8176 · 8760 · 9344 · 10220 · 11680 · 12264 · 13440 · 14016 · 15330 · 16352 · 17520 · 20440 · 23360 · 24528 · 28032 · 30660 · 32704 · 35040 · 40880 · 46720 · 49056 · 61320 · 65408 · 70080 · 81760 · 98112 · 122640 · 140160 · 163520 · 196224 · 245280 · 327040 · 490560 (half) · 981120
Aliquot sum (sum of proper divisors): 2,641,920
Factor pairs (a × b = 981,120)
1 × 981120
2 × 490560
3 × 327040
4 × 245280
5 × 196224
6 × 163520
7 × 140160
8 × 122640
10 × 98112
12 × 81760
14 × 70080
15 × 65408
16 × 61320
20 × 49056
21 × 46720
24 × 40880
28 × 35040
30 × 32704
32 × 30660
35 × 28032
40 × 24528
42 × 23360
48 × 20440
56 × 17520
60 × 16352
64 × 15330
70 × 14016
73 × 13440
80 × 12264
84 × 11680
96 × 10220
105 × 9344
112 × 8760
120 × 8176
128 × 7665
140 × 7008
146 × 6720
160 × 6132
168 × 5840
192 × 5110
210 × 4672
219 × 4480
224 × 4380
240 × 4088
280 × 3504
292 × 3360
320 × 3066
336 × 2920
365 × 2688
384 × 2555
420 × 2336
438 × 2240
448 × 2190
480 × 2044
511 × 1920
560 × 1752
584 × 1680
640 × 1533
672 × 1460
730 × 1344
840 × 1168
876 × 1120
896 × 1095
960 × 1022
First multiples
981,120 · 1,962,240 (double) · 2,943,360 · 3,924,480 · 4,905,600 · 5,886,720 · 6,867,840 · 7,848,960 · 8,830,080 · 9,811,200

Sums & aliquot sequence

As consecutive integers: 327,039 + 327,040 + 327,041 196,222 + 196,223 + 196,224 + 196,225 + 196,226 140,157 + 140,158 + … + 140,163 65,401 + 65,402 + … + 65,415
Aliquot sequence: 981,120 2,641,920 6,007,776 9,762,888 14,809,272 22,213,968 47,245,872 79,018,368 167,740,032 282,251,328 464,539,152 1,031,650,800 2,273,074,440 6,326,213,880 15,423,822,600 — keeps growing

Continued fraction of √n

√981,120 = [990; (1, 1, 16, 6, 1, 3, 1, 6, 16, 1, 1, 1980)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
nine hundred eighty-one thousand one hundred twenty
Ordinal
981120th
Binary
11101111100010000000
Octal
3574200
Hexadecimal
0xEF880
Base64
DviA
One's complement
4,293,986,175 (32-bit)
Scientific notation
9.8112 × 10⁵
As a duration
981,120 s = 11 days, 8 hours, 32 minutes
In other bases
ternary (3) 1211211211210
quaternary (4) 3233202000
quinary (5) 222343440
senary (6) 33010120
septenary (7) 11224260
nonary (9) 1754753
undecimal (11) 610148
duodecimal (12) 3b3940
tridecimal (13) 28475a
tetradecimal (14) 1b77a0
pentadecimal (15) 145a80

As an angle

981,120° = 2,725 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓎆𓎆
Greek (Milesian)
͵ϡπαρκʹ
Chinese
九十八萬一千一百二十
Chinese (financial)
玖拾捌萬壹仟壹佰貳拾
In other modern scripts
Eastern Arabic ٩٨١١٢٠ Devanagari ९८११२० Bengali ৯৮১১২০ Tamil ௯௮௧௧௨௦ Thai ๙๘๑๑๒๐ Tibetan ༩༨༡༡༢༠ Khmer ៩៨១១២០ Lao ໙໘໑໑໒໐ Burmese ၉၈၁၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 981120, here are decompositions:

  • 29 + 981091 = 981120
  • 43 + 981077 = 981120
  • 47 + 981073 = 981120
  • 53 + 981067 = 981120
  • 59 + 981061 = 981120
  • 71 + 981049 = 981120
  • 83 + 981037 = 981120
  • 97 + 981023 = 981120

Showing the first eight; more decompositions exist.

Hex color
#0EF880
RGB(14, 248, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.248.128.

Address
0.14.248.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.248.128

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 981,120 and was likely granted around 1910.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.