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137,390

137,390 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.).

137,390 (one hundred thirty-seven thousand three hundred ninety) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 11 × 1,249. Written other ways, in hexadecimal, 0x218AE.

Arithmetic Number Cube-Free Deficient Number Evil Number Gapful Number Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
93,731
Recamán's sequence
a(37,584) = 137,390
Square (n²)
18,876,012,100
Cube (n³)
2,593,375,302,419,000
Divisor count
16
σ(n) — sum of divisors
270,000
φ(n) — Euler's totient
49,920
Sum of prime factors
1,267

Primality

Prime factorization: 2 × 5 × 11 × 1249

Nearest primes: 137,387 (−3) · 137,393 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 10 · 11 · 22 · 55 · 110 · 1249 · 2498 · 6245 · 12490 · 13739 · 27478 · 68695 (half) · 137390
Aliquot sum (sum of proper divisors): 132,610
Factor pairs (a × b = 137,390)
1 × 137390
2 × 68695
5 × 27478
10 × 13739
11 × 12490
22 × 6245
55 × 2498
110 × 1249
First multiples
137,390 · 274,780 (double) · 412,170 · 549,560 · 686,950 · 824,340 · 961,730 · 1,099,120 · 1,236,510 · 1,373,900

Sums & aliquot sequence

As consecutive integers: 34,346 + 34,347 + 34,348 + 34,349 27,476 + 27,477 + 27,478 + 27,479 + 27,480 12,485 + 12,486 + … + 12,495 6,860 + 6,861 + … + 6,879
Aliquot sequence: 137,390 132,610 110,390 131,530 139,190 120,010 115,862 67,138 33,572 40,348 48,356 57,820 85,820 120,484 139,804 139,860 370,860 — unresolved within range

Continued fraction of √n

√137,390 = [370; (1, 1, 1, 21, 7, 3, 2, 2, 7, 2, 9, 1, 1, 4, 1, 1, 4, 3, 1, 3, 1, 2, 2, 1, …)]

Representations

In words
one hundred thirty-seven thousand three hundred ninety
Ordinal
137390th
Binary
100001100010101110
Octal
414256
Hexadecimal
0x218AE
Base64
Ahiu
One's complement
4,294,829,905 (32-bit)
Scientific notation
1.3739 × 10⁵
As a duration
137,390 s = 1 day, 14 hours, 9 minutes, 50 seconds
In other bases
ternary (3) 20222110112
quaternary (4) 201202232
quinary (5) 13344030
senary (6) 2540022
septenary (7) 1111361
nonary (9) 228415
undecimal (11) 94250
duodecimal (12) 67612
tridecimal (13) 4a6c6
tetradecimal (14) 380d8
pentadecimal (15) 2aa95

As an angle

137,390° = 381 × 360° + 230°
230° ≈ 4.014 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλζτϟʹ
Mayan (base 20)
𝋱·𝋣·𝋩·𝋪
Chinese
一十三萬七千三百九十
Chinese (financial)
壹拾參萬柒仟參佰玖拾
In other modern scripts
Eastern Arabic ١٣٧٣٩٠ Devanagari १३७३९० Bengali ১৩৭৩৯০ Tamil ௧௩௭௩௯௦ Thai ๑๓๗๓๙๐ Tibetan ༡༣༧༣༩༠ Khmer ១៣៧៣៩០ Lao ໑໓໗໓໙໐ Burmese ၁၃၇၃၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137390, here are decompositions:

  • 3 + 137387 = 137390
  • 7 + 137383 = 137390
  • 31 + 137359 = 137390
  • 37 + 137353 = 137390
  • 139 + 137251 = 137390
  • 151 + 137239 = 137390
  • 181 + 137209 = 137390
  • 193 + 137197 = 137390

Showing the first eight; more decompositions exist.

Unicode codepoint
𡢮
CJK Unified Ideograph-218Ae
U+218AE
Other letter (Lo)

UTF-8 encoding: F0 A1 A2 AE (4 bytes).

Hex color
#0218AE
RGB(2, 24, 174)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.174.

Address
0.2.24.174
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.174

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 137,390 and was likely granted around 1872.

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.