137,640
137,640 is a composite number, even.
137,640 (one hundred thirty-seven thousand six hundred forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 31 × 37. Its proper divisors sum to 300,120, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x219A8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 46,731
- Recamán's sequence
- a(493,547) = 137,640
- Square (n²)
- 18,944,769,600
- Cube (n³)
- 2,607,558,087,744,000
- Divisor count
- 64
- σ(n) — sum of divisors
- 437,760
- φ(n) — Euler's totient
- 34,560
- Sum of prime factors
- 82
Primality
Prime factorization: 2 3 × 3 × 5 × 31 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,640 = [370; (1, 740)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand six hundred forty
- Ordinal
- 137640th
- Binary
- 100001100110101000
- Octal
- 414650
- Hexadecimal
- 0x219A8
- Base64
- Ahmo
- One's complement
- 4,294,829,655 (32-bit)
- Scientific notation
- 1.3764 × 10⁵
- As a duration
- 137,640 s = 1 day, 14 hours, 14 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλζχμʹ
- Mayan (base 20)
- 𝋱·𝋤·𝋢·𝋠
- Chinese
- 一十三萬七千六百四十
- Chinese (financial)
- 壹拾參萬柒仟陸佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137640, here are decompositions:
- 7 + 137633 = 137640
- 17 + 137623 = 137640
- 43 + 137597 = 137640
- 47 + 137593 = 137640
- 53 + 137587 = 137640
- 67 + 137573 = 137640
- 73 + 137567 = 137640
- 103 + 137537 = 137640
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A6 A8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.168.
- Address
- 0.2.25.168
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.25.168
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 137,640 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 137640 first appears in π at position 111,204 of the decimal expansion (the 111,204ordinal-suffix:th 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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.