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113,920

113,920 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.).

113,920 (one hundred thirteen thousand nine hundred twenty) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁸ × 5 × 89. Its proper divisors sum to 162,020, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BD00.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
29,311
Recamán's sequence
a(56,627) = 113,920
Square (n²)
12,977,766,400
Cube (n³)
1,478,427,148,288,000
Divisor count
36
σ(n) — sum of divisors
275,940
φ(n) — Euler's totient
45,056
Sum of prime factors
110

Primality

Prime factorization: 2 8 × 5 × 89

Nearest primes: 113,909 (−11) · 113,921 (+1)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 64 · 80 · 89 · 128 · 160 · 178 · 256 · 320 · 356 · 445 · 640 · 712 · 890 · 1280 · 1424 · 1780 · 2848 · 3560 · 5696 · 7120 · 11392 · 14240 · 22784 · 28480 · 56960 (half) · 113920
Aliquot sum (sum of proper divisors): 162,020
Factor pairs (a × b = 113,920)
1 × 113920
2 × 56960
4 × 28480
5 × 22784
8 × 14240
10 × 11392
16 × 7120
20 × 5696
32 × 3560
40 × 2848
64 × 1780
80 × 1424
89 × 1280
128 × 890
160 × 712
178 × 640
256 × 445
320 × 356
First multiples
113,920 · 227,840 (double) · 341,760 · 455,680 · 569,600 · 683,520 · 797,440 · 911,360 · 1,025,280 · 1,139,200

Sums & aliquot sequence

As a sum of two squares: 32² + 336² = 176² + 288²
As consecutive integers: 22,782 + 22,783 + 22,784 + 22,785 + 22,786 1,236 + 1,237 + … + 1,324 34 + 35 + … + 478
Aliquot sequence: 113,920 162,020 178,264 155,996 122,044 108,060 194,676 259,596 396,696 595,104 967,296 1,847,904 3,003,096 4,561,944 6,937,896 13,239,384 20,119,656 — unresolved within range

Continued fraction of √n

√113,920 = [337; (1, 1, 11, 1, 3, 2, 2, 5, 5, 1, 8, 1, 2, 41, 1, 5, 2, 4, 1, 3, 2, 1, 1, 1, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand nine hundred twenty
Ordinal
113920th
Binary
11011110100000000
Octal
336400
Hexadecimal
0x1BD00
Base64
Ab0A
One's complement
4,294,853,375 (32-bit)
Scientific notation
1.1392 × 10⁵
As a duration
113,920 s = 1 day, 7 hours, 38 minutes, 40 seconds
In other bases
ternary (3) 12210021021
quaternary (4) 123310000
quinary (5) 12121140
senary (6) 2235224
septenary (7) 653062
nonary (9) 183237
undecimal (11) 78654
duodecimal (12) 55b14
tridecimal (13) 3cb11
tetradecimal (14) 2d732
pentadecimal (15) 23b4a

As an angle

113,920° = 316 × 360° + 160°
160° ≈ 2.793 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ριγϡκʹ
Mayan (base 20)
𝋮·𝋤·𝋰·𝋠
Chinese
一十一萬三千九百二十
Chinese (financial)
壹拾壹萬參仟玖佰貳拾
In other modern scripts
Eastern Arabic ١١٣٩٢٠ Devanagari ११३९२० Bengali ১১৩৯২০ Tamil ௧௧௩௯௨௦ Thai ๑๑๓๙๒๐ Tibetan ༡༡༣༩༢༠ Khmer ១១៣៩២០ Lao ໑໑໓໙໒໐ Burmese ၁၁၃၉၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113920, here are decompositions:

  • 11 + 113909 = 113920
  • 17 + 113903 = 113920
  • 29 + 113891 = 113920
  • 83 + 113837 = 113920
  • 101 + 113819 = 113920
  • 137 + 113783 = 113920
  • 197 + 113723 = 113920
  • 263 + 113657 = 113920

Showing the first eight; more decompositions exist.

Hex color
#01BD00
RGB(1, 189, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.189.0.

Address
0.1.189.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.189.0

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 113,920 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