137,280
137,280 is a composite number, even.
137,280 (one hundred thirty-seven thousand two hundred eighty) is an even 6-digit number. It is a composite number with 112 divisors, and factors as 2⁶ × 3 × 5 × 11 × 13. Its proper divisors sum to 374,784, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21840.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 82,731
- Recamán's sequence
- a(37,364) = 137,280
- Square (n²)
- 18,845,798,400
- Cube (n³)
- 2,587,151,204,352,000
- Divisor count
- 112
- σ(n) — sum of divisors
- 512,064
- φ(n) — Euler's totient
- 30,720
- Sum of prime factors
- 44
Primality
Prime factorization: 2 6 × 3 × 5 × 11 × 13
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,280 = [370; (1, 1, 18, 1, 1, 740)]
Period length 6 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand two hundred eighty
- Ordinal
- 137280th
- Binary
- 100001100001000000
- Octal
- 414100
- Hexadecimal
- 0x21840
- Base64
- AhhA
- One's complement
- 4,294,830,015 (32-bit)
- Scientific notation
- 1.3728 × 10⁵
- As a duration
- 137,280 s = 1 day, 14 hours, 8 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρλζσπʹ
- Mayan (base 20)
- 𝋱·𝋣·𝋤·𝋠
- Chinese
- 一十三萬七千二百八十
- Chinese (financial)
- 壹拾參萬柒仟貳佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137280, here are decompositions:
- 7 + 137273 = 137280
- 29 + 137251 = 137280
- 41 + 137239 = 137280
- 61 + 137219 = 137280
- 71 + 137209 = 137280
- 79 + 137201 = 137280
- 83 + 137197 = 137280
- 89 + 137191 = 137280
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A1 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.64.
- Address
- 0.2.24.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.24.64
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 137,280 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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.