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137,440

137,440 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.).

137,440 (one hundred thirty-seven thousand four hundred forty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 859. Its proper divisors sum to 187,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x218E0.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
44,731
Square (n²)
18,889,753,600
Cube (n³)
2,596,207,734,784,000
Divisor count
24
σ(n) — sum of divisors
325,080
φ(n) — Euler's totient
54,912
Sum of prime factors
874

Primality

Prime factorization: 2 5 × 5 × 859

Nearest primes: 137,437 (−3) · 137,443 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 80 · 160 · 859 · 1718 · 3436 · 4295 · 6872 · 8590 · 13744 · 17180 · 27488 · 34360 · 68720 (half) · 137440
Aliquot sum (sum of proper divisors): 187,640
Factor pairs (a × b = 137,440)
1 × 137440
2 × 68720
4 × 34360
5 × 27488
8 × 17180
10 × 13744
16 × 8590
20 × 6872
32 × 4295
40 × 3436
80 × 1718
160 × 859
First multiples
137,440 · 274,880 (double) · 412,320 · 549,760 · 687,200 · 824,640 · 962,080 · 1,099,520 · 1,236,960 · 1,374,400

Sums & aliquot sequence

As consecutive integers: 27,486 + 27,487 + 27,488 + 27,489 + 27,490 2,116 + 2,117 + … + 2,179 270 + 271 + … + 589
Aliquot sequence: 137,440 187,640 234,640 390,320 734,608 922,838 714,442 420,314 210,160 298,736 280,096 271,406 140,194 71,774 42,274 23,966 13,618 — unresolved within range

Continued fraction of √n

√137,440 = [370; (1, 2, 1, 2, 4, 2, 1, 1, 3, 7, 2, 4, 18, 1, 3, 1, 2, 1, 1, 20, 49, 2, 1, 1, …)]

Representations

In words
one hundred thirty-seven thousand four hundred forty
Ordinal
137440th
Binary
100001100011100000
Octal
414340
Hexadecimal
0x218E0
Base64
Ahjg
One's complement
4,294,829,855 (32-bit)
Scientific notation
1.3744 × 10⁵
As a duration
137,440 s = 1 day, 14 hours, 10 minutes, 40 seconds
In other bases
ternary (3) 20222112101
quaternary (4) 201203200
quinary (5) 13344230
senary (6) 2540144
septenary (7) 1111462
nonary (9) 228471
undecimal (11) 94296
duodecimal (12) 67654
tridecimal (13) 4a734
tetradecimal (14) 38132
pentadecimal (15) 2aaca

As an angle

137,440° = 381 × 360° + 280°
280° ≈ 4.887 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλζυμʹ
Mayan (base 20)
𝋱·𝋣·𝋬·𝋠
Chinese
一十三萬七千四百四十
Chinese (financial)
壹拾參萬柒仟肆佰肆拾
In other modern scripts
Eastern Arabic ١٣٧٤٤٠ Devanagari १३७४४० Bengali ১৩৭৪৪০ Tamil ௧௩௭௪௪௦ Thai ๑๓๗๔๔๐ Tibetan ༡༣༧༤༤༠ Khmer ១៣៧៤៤០ Lao ໑໓໗໔໔໐ Burmese ၁၃၇၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137440, here are decompositions:

  • 3 + 137437 = 137440
  • 41 + 137399 = 137440
  • 47 + 137393 = 137440
  • 53 + 137387 = 137440
  • 71 + 137369 = 137440
  • 101 + 137339 = 137440
  • 137 + 137303 = 137440
  • 167 + 137273 = 137440

Showing the first eight; more decompositions exist.

Unicode codepoint
𡣠
CJK Unified Ideograph-218E0
U+218E0
Other letter (Lo)

UTF-8 encoding: F0 A1 A3 A0 (4 bytes).

Hex color
#0218E0
RGB(2, 24, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.224.

Address
0.2.24.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.224

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 137,440 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