137,360
137,360 is a composite number, even.
137,360 (one hundred thirty-seven thousand three hundred sixty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 17 × 101. Its proper divisors sum to 204,136, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21890.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 63,731
- Recamán's sequence
- a(37,524) = 137,360
- Square (n²)
- 18,867,769,600
- Cube (n³)
- 2,591,676,832,256,000
- Divisor count
- 40
- σ(n) — sum of divisors
- 341,496
- φ(n) — Euler's totient
- 51,200
- Sum of prime factors
- 131
Primality
Prime factorization: 2 4 × 5 × 17 × 101
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,360 = [370; (1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 740)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand three hundred sixty
- Ordinal
- 137360th
- Binary
- 100001100010010000
- Octal
- 414220
- Hexadecimal
- 0x21890
- Base64
- AhiQ
- One's complement
- 4,294,829,935 (32-bit)
- Scientific notation
- 1.3736 × 10⁵
- As a duration
- 137,360 s = 1 day, 14 hours, 9 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλζτξʹ
- Mayan (base 20)
- 𝋱·𝋣·𝋨·𝋠
- Chinese
- 一十三萬七千三百六十
- Chinese (financial)
- 壹拾參萬柒仟參佰陸拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137360, here are decompositions:
- 7 + 137353 = 137360
- 19 + 137341 = 137360
- 109 + 137251 = 137360
- 151 + 137209 = 137360
- 163 + 137197 = 137360
- 229 + 137131 = 137360
- 241 + 137119 = 137360
- 271 + 137089 = 137360
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A2 90 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.144.
- Address
- 0.2.24.144
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.24.144
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 137,360 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.