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137,060

137,060 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.).

137,060 (one hundred thirty-seven thousand sixty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 7 × 11 × 89. Its proper divisors sum to 225,820, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21764.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
60,731
Square (n²)
18,785,443,600
Cube (n³)
2,574,732,899,816,000
Divisor count
48
σ(n) — sum of divisors
362,880
φ(n) — Euler's totient
42,240
Sum of prime factors
116

Primality

Prime factorization: 2 2 × 5 × 7 × 11 × 89

Nearest primes: 137,029 (−31) · 137,077 (+17)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 7 · 10 · 11 · 14 · 20 · 22 · 28 · 35 · 44 · 55 · 70 · 77 · 89 · 110 · 140 · 154 · 178 · 220 · 308 · 356 · 385 · 445 · 623 · 770 · 890 · 979 · 1246 · 1540 · 1780 · 1958 · 2492 · 3115 · 3916 · 4895 · 6230 · 6853 · 9790 · 12460 · 13706 · 19580 · 27412 · 34265 · 68530 (half) · 137060
Aliquot sum (sum of proper divisors): 225,820
Factor pairs (a × b = 137,060)
1 × 137060
2 × 68530
4 × 34265
5 × 27412
7 × 19580
10 × 13706
11 × 12460
14 × 9790
20 × 6853
22 × 6230
28 × 4895
35 × 3916
44 × 3115
55 × 2492
70 × 1958
77 × 1780
89 × 1540
110 × 1246
140 × 979
154 × 890
178 × 770
220 × 623
308 × 445
356 × 385
First multiples
137,060 · 274,120 (double) · 411,180 · 548,240 · 685,300 · 822,360 · 959,420 · 1,096,480 · 1,233,540 · 1,370,600

Sums & aliquot sequence

As consecutive integers: 27,410 + 27,411 + 27,412 + 27,413 + 27,414 19,577 + 19,578 + … + 19,583 17,129 + 17,130 + … + 17,136 12,455 + 12,456 + … + 12,465
Aliquot sequence: 137,060 225,820 316,484 328,636 401,268 735,756 1,334,004 2,223,564 3,786,804 7,435,596 14,240,436 24,552,780 55,571,124 100,422,476 126,256,564 126,256,620 301,554,708 — unresolved within range

Continued fraction of √n

√137,060 = [370; (4, 1, 1, 1, 2, 11, 5, 4, 5, 2, 2, 2, 2, 16, 2, 2, 2, 2, 5, 4, 5, 11, 2, 1, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand sixty
Ordinal
137060th
Binary
100001011101100100
Octal
413544
Hexadecimal
0x21764
Base64
Ahdk
One's complement
4,294,830,235 (32-bit)
Scientific notation
1.3706 × 10⁵
As a duration
137,060 s = 1 day, 14 hours, 4 minutes, 20 seconds
In other bases
ternary (3) 20222000022
quaternary (4) 201131210
quinary (5) 13341220
senary (6) 2534312
septenary (7) 1110410
nonary (9) 228008
undecimal (11) 93a80
duodecimal (12) 67398
tridecimal (13) 4a501
tetradecimal (14) 37d40
pentadecimal (15) 2a925

As an angle

137,060° = 380 × 360° + 260°
260° ≈ 4.538 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλζξʹ
Mayan (base 20)
𝋱·𝋢·𝋭·𝋠
Chinese
一十三萬七千零六十
Chinese (financial)
壹拾參萬柒仟零陸拾
In other modern scripts
Eastern Arabic ١٣٧٠٦٠ Devanagari १३७०६० Bengali ১৩৭০৬০ Tamil ௧௩௭௦௬௦ Thai ๑๓๗๐๖๐ Tibetan ༡༣༧༠༦༠ Khmer ១៣៧០៦០ Lao ໑໓໗໐໖໐ Burmese ၁၃၇၀၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137060, here are decompositions:

  • 31 + 137029 = 137060
  • 61 + 136999 = 137060
  • 67 + 136993 = 137060
  • 73 + 136987 = 137060
  • 97 + 136963 = 137060
  • 109 + 136951 = 137060
  • 163 + 136897 = 137060
  • 181 + 136879 = 137060

Showing the first eight; more decompositions exist.

Unicode codepoint
𡝤
CJK Unified Ideograph-21764
U+21764
Other letter (Lo)

UTF-8 encoding: F0 A1 9D A4 (4 bytes).

Hex color
#021764
RGB(2, 23, 100)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.100.

Address
0.2.23.100
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.100

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 137,060 and was likely granted around 1872.

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

Position in π

The digit sequence 137060 first appears in π at position 61,423 of the decimal expansion (the 61,423ordinal-suffix:rd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

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