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113,960

113,960 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.).

113,960 (one hundred thirteen thousand nine hundred sixty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 5 × 7 × 11 × 37. Its proper divisors sum to 214,360, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BD28.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
69,311
Recamán's sequence
a(56,707) = 113,960
Square (n²)
12,986,881,600
Cube (n³)
1,479,985,027,136,000
Divisor count
64
σ(n) — sum of divisors
328,320
φ(n) — Euler's totient
34,560
Sum of prime factors
66

Primality

Prime factorization: 2 3 × 5 × 7 × 11 × 37

Nearest primes: 113,957 (−3) · 113,963 (+3)

Divisors & multiples

All divisors (64)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 11 · 14 · 20 · 22 · 28 · 35 · 37 · 40 · 44 · 55 · 56 · 70 · 74 · 77 · 88 · 110 · 140 · 148 · 154 · 185 · 220 · 259 · 280 · 296 · 308 · 370 · 385 · 407 · 440 · 518 · 616 · 740 · 770 · 814 · 1036 · 1295 · 1480 · 1540 · 1628 · 2035 · 2072 · 2590 · 2849 · 3080 · 3256 · 4070 · 5180 · 5698 · 8140 · 10360 · 11396 · 14245 · 16280 · 22792 · 28490 · 56980 (half) · 113960
Aliquot sum (sum of proper divisors): 214,360
Factor pairs (a × b = 113,960)
1 × 113960
2 × 56980
4 × 28490
5 × 22792
7 × 16280
8 × 14245
10 × 11396
11 × 10360
14 × 8140
20 × 5698
22 × 5180
28 × 4070
35 × 3256
37 × 3080
40 × 2849
44 × 2590
55 × 2072
56 × 2035
70 × 1628
74 × 1540
77 × 1480
88 × 1295
110 × 1036
140 × 814
148 × 770
154 × 740
185 × 616
220 × 518
259 × 440
280 × 407
296 × 385
308 × 370
First multiples
113,960 · 227,920 (double) · 341,880 · 455,840 · 569,800 · 683,760 · 797,720 · 911,680 · 1,025,640 · 1,139,600

Sums & aliquot sequence

As consecutive integers: 22,790 + 22,791 + 22,792 + 22,793 + 22,794 16,277 + 16,278 + … + 16,283 10,355 + 10,356 + … + 10,365 7,115 + 7,116 + … + 7,130
Aliquot sequence: 113,960 214,360 291,080 400,120 629,480 786,940 1,338,932 1,338,988 1,624,532 1,875,244 1,875,300 4,790,940 13,207,908 22,398,236 22,590,820 31,627,484 35,454,244 — unresolved within range

Continued fraction of √n

√113,960 = [337; (1, 1, 2, 1, 1, 1, 3, 2, 16, 2, 3, 1, 1, 1, 2, 1, 1, 674)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand nine hundred sixty
Ordinal
113960th
Binary
11011110100101000
Octal
336450
Hexadecimal
0x1BD28
Base64
Ab0o
One's complement
4,294,853,335 (32-bit)
Scientific notation
1.1396 × 10⁵
As a duration
113,960 s = 1 day, 7 hours, 39 minutes, 20 seconds
In other bases
ternary (3) 12210022202
quaternary (4) 123310220
quinary (5) 12121320
senary (6) 2235332
septenary (7) 653150
nonary (9) 183282
undecimal (11) 78690
duodecimal (12) 55b48
tridecimal (13) 3cb42
tetradecimal (14) 2d760
pentadecimal (15) 23b75

As an angle

113,960° = 316 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριγϡξʹ
Mayan (base 20)
𝋮·𝋤·𝋲·𝋠
Chinese
一十一萬三千九百六十
Chinese (financial)
壹拾壹萬參仟玖佰陸拾
In other modern scripts
Eastern Arabic ١١٣٩٦٠ Devanagari ११३९६० Bengali ১১৩৯৬০ Tamil ௧௧௩௯௬௦ Thai ๑๑๓๙๖๐ Tibetan ༡༡༣༩༦༠ Khmer ១១៣៩៦០ Lao ໑໑໓໙໖໐ Burmese ၁၁၃၉၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113960, here are decompositions:

  • 3 + 113957 = 113960
  • 13 + 113947 = 113960
  • 61 + 113899 = 113960
  • 151 + 113809 = 113960
  • 163 + 113797 = 113960
  • 181 + 113779 = 113960
  • 199 + 113761 = 113960
  • 211 + 113749 = 113960

Showing the first eight; more decompositions exist.

Hex color
#01BD28
RGB(1, 189, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.189.40.

Address
0.1.189.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.189.40

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 113,960 and was likely granted around 1871.

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

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.