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113,190

113,190 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.).

113,190 (one hundred thirteen thousand one hundred ninety) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2 × 3 × 5 × 7³ × 11. Its proper divisors sum to 232,410, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BA26.

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
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
91,311
Recamán's sequence
a(246,196) = 113,190
Square (n²)
12,811,976,100
Cube (n³)
1,450,187,574,759,000
Divisor count
64
σ(n) — sum of divisors
345,600
φ(n) — Euler's totient
23,520
Sum of prime factors
42

Primality

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

Nearest primes: 113,189 (−1) · 113,209 (+19)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 5 · 6 · 7 · 10 · 11 · 14 · 15 · 21 · 22 · 30 · 33 · 35 · 42 · 49 · 55 · 66 · 70 · 77 · 98 · 105 · 110 · 147 · 154 · 165 · 210 · 231 · 245 · 294 · 330 · 343 · 385 · 462 · 490 · 539 · 686 · 735 · 770 · 1029 · 1078 · 1155 · 1470 · 1617 · 1715 · 2058 · 2310 · 2695 · 3234 · 3430 · 3773 · 5145 · 5390 · 7546 · 8085 · 10290 · 11319 · 16170 · 18865 · 22638 · 37730 · 56595 (half) · 113190
Aliquot sum (sum of proper divisors): 232,410
Factor pairs (a × b = 113,190)
1 × 113190
2 × 56595
3 × 37730
5 × 22638
6 × 18865
7 × 16170
10 × 11319
11 × 10290
14 × 8085
15 × 7546
21 × 5390
22 × 5145
30 × 3773
33 × 3430
35 × 3234
42 × 2695
49 × 2310
55 × 2058
66 × 1715
70 × 1617
77 × 1470
98 × 1155
105 × 1078
110 × 1029
147 × 770
154 × 735
165 × 686
210 × 539
231 × 490
245 × 462
294 × 385
330 × 343
First multiples
113,190 · 226,380 (double) · 339,570 · 452,760 · 565,950 · 679,140 · 792,330 · 905,520 · 1,018,710 · 1,131,900

Sums & aliquot sequence

As consecutive integers: 37,729 + 37,730 + 37,731 28,296 + 28,297 + 28,298 + 28,299 22,636 + 22,637 + 22,638 + 22,639 + 22,640 16,167 + 16,168 + … + 16,173
Aliquot sequence: 113,190 232,410 338,982 450,354 470,094 490,674 509,838 680,562 844,764 1,314,372 1,952,108 1,496,764 1,132,100 1,324,774 843,074 428,734 228,194 — unresolved within range

Continued fraction of √n

√113,190 = [336; (2, 3, 2, 13, 3, 2, 1, 1, 6, 13, 1, 1, 2, 1, 1, 1, 1, 2, 1, 13, 112, 13, 1, 2, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand one hundred ninety
Ordinal
113190th
Binary
11011101000100110
Octal
335046
Hexadecimal
0x1BA26
Base64
Abom
One's complement
4,294,854,105 (32-bit)
Scientific notation
1.1319 × 10⁵
As a duration
113,190 s = 1 day, 7 hours, 26 minutes, 30 seconds
In other bases
ternary (3) 12202021020
quaternary (4) 123220212
quinary (5) 12110230
senary (6) 2232010
septenary (7) 651000
nonary (9) 182236
undecimal (11) 78050
duodecimal (12) 55606
tridecimal (13) 3c69c
tetradecimal (14) 2d370
pentadecimal (15) 23810

As an angle

113,190° = 314 × 360° + 150°
150° ≈ 2.618 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριγρϟʹ
Mayan (base 20)
𝋮·𝋢·𝋳·𝋪
Chinese
一十一萬三千一百九十
Chinese (financial)
壹拾壹萬參仟壹佰玖拾
In other modern scripts
Eastern Arabic ١١٣١٩٠ Devanagari ११३१९० Bengali ১১৩১৯০ Tamil ௧௧௩௧௯௦ Thai ๑๑๓๑๙๐ Tibetan ༡༡༣༡༩༠ Khmer ១១៣១៩០ Lao ໑໑໓໑໙໐ Burmese ၁၁၃၁၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113190, here are decompositions:

  • 13 + 113177 = 113190
  • 17 + 113173 = 113190
  • 19 + 113171 = 113190
  • 23 + 113167 = 113190
  • 29 + 113161 = 113190
  • 31 + 113159 = 113190
  • 37 + 113153 = 113190
  • 41 + 113149 = 113190

Showing the first eight; more decompositions exist.

Hex color
#01BA26
RGB(1, 186, 38)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.38.

Address
0.1.186.38
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.38

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 113,190 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

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