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988,240

988,240 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.).

988,240 (nine hundred eighty-eight thousand two hundred forty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 11 × 1,123. Its proper divisors sum to 1,520,528, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1450.

Abundant Number Evil Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
31
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
42,889
Square (n²)
976,618,297,600
Cube (n³)
965,133,266,420,224,000
Divisor count
40
σ(n) — sum of divisors
2,508,768
φ(n) — Euler's totient
359,040
Sum of prime factors
1,147

Primality

Prime factorization: 2 4 × 5 × 11 × 1123

Nearest primes: 988,237 (−3) · 988,243 (+3)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 20 · 22 · 40 · 44 · 55 · 80 · 88 · 110 · 176 · 220 · 440 · 880 · 1123 · 2246 · 4492 · 5615 · 8984 · 11230 · 12353 · 17968 · 22460 · 24706 · 44920 · 49412 · 61765 · 89840 · 98824 · 123530 · 197648 · 247060 · 494120 (half) · 988240
Aliquot sum (sum of proper divisors): 1,520,528
Factor pairs (a × b = 988,240)
1 × 988240
2 × 494120
4 × 247060
5 × 197648
8 × 123530
10 × 98824
11 × 89840
16 × 61765
20 × 49412
22 × 44920
40 × 24706
44 × 22460
55 × 17968
80 × 12353
88 × 11230
110 × 8984
176 × 5615
220 × 4492
440 × 2246
880 × 1123
First multiples
988,240 · 1,976,480 (double) · 2,964,720 · 3,952,960 · 4,941,200 · 5,929,440 · 6,917,680 · 7,905,920 · 8,894,160 · 9,882,400

Sums & aliquot sequence

As consecutive integers: 197,646 + 197,647 + 197,648 + 197,649 + 197,650 89,835 + 89,836 + … + 89,845 30,867 + 30,868 + … + 30,898 17,941 + 17,942 + … + 17,995
Aliquot sequence: 988,240 1,520,528 1,557,586 778,796 596,956 447,724 341,540 375,736 340,304 319,066 203,078 106,882 53,444 43,324 32,500 44,038 22,994 — unresolved within range

Continued fraction of √n

√988,240 = [994; (9, 1, 2, 1, 13, 2, 5, 2, 3, 2, 1, 39, 1, 7, 3, 4, 5, 3, 3, 1, 5, 6, 1, 2, …)]

Representations

In words
nine hundred eighty-eight thousand two hundred forty
Ordinal
988240th
Binary
11110001010001010000
Octal
3612120
Hexadecimal
0xF1450
Base64
DxRQ
One's complement
4,293,979,055 (32-bit)
Scientific notation
9.8824 × 10⁵
As a duration
988,240 s = 11 days, 10 hours, 30 minutes, 40 seconds
In other bases
ternary (3) 1212012121111
quaternary (4) 3301101100
quinary (5) 223110430
senary (6) 33103104
septenary (7) 11254111
nonary (9) 1765544
undecimal (11) 615530
duodecimal (12) 3b7a94
tridecimal (13) 287a76
tetradecimal (14) 1ba208
pentadecimal (15) 147c2a

As an angle

988,240° = 2,745 × 360° + 40°
40° ≈ 0.698 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ϡπησμʹ
Chinese
九十八萬八千二百四十
Chinese (financial)
玖拾捌萬捌仟貳佰肆拾
In other modern scripts
Eastern Arabic ٩٨٨٢٤٠ Devanagari ९८८२४० Bengali ৯৮৮২৪০ Tamil ௯௮௮௨௪௦ Thai ๙๘๘๒๔๐ Tibetan ༩༨༨༢༤༠ Khmer ៩៨៨២៤០ Lao ໙໘໘໒໔໐ Burmese ၉၈၈၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988240, here are decompositions:

  • 3 + 988237 = 988240
  • 23 + 988217 = 988240
  • 41 + 988199 = 988240
  • 83 + 988157 = 988240
  • 131 + 988109 = 988240
  • 173 + 988067 = 988240
  • 179 + 988061 = 988240
  • 233 + 988007 = 988240

Showing the first eight; more decompositions exist.

Hex color
#0F1450
RGB(15, 20, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.20.80.

Address
0.15.20.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.20.80

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 988,240 and was likely granted around 1911.

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

Position in π

The digit sequence 988240 first appears in π at position 131,512 of the decimal expansion (the 131,512ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

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