137,720
137,720 is a composite number, even.
137,720 (one hundred thirty-seven thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 11 × 313. Its proper divisors sum to 201,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x219F8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 27,731
- Recamán's sequence
- a(493,387) = 137,720
- Square (n²)
- 18,966,798,400
- Cube (n³)
- 2,612,107,475,648,000
- Divisor count
- 32
- σ(n) — sum of divisors
- 339,120
- φ(n) — Euler's totient
- 49,920
- Sum of prime factors
- 335
Primality
Prime factorization: 2 3 × 5 × 11 × 313
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√137,720 = [371; (9, 2, 1, 1, 5, 1, 4, 14, 1, 15, 1, 14, 4, 1, 5, 1, 1, 2, 9, 742)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-seven thousand seven hundred twenty
- Ordinal
- 137720th
- Binary
- 100001100111111000
- Octal
- 414770
- Hexadecimal
- 0x219F8
- Base64
- Ahn4
- One's complement
- 4,294,829,575 (32-bit)
- Scientific notation
- 1.3772 × 10⁵
- As a duration
- 137,720 s = 1 day, 14 hours, 15 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρλζψκʹ
- Mayan (base 20)
- 𝋱·𝋤·𝋦·𝋠
- Chinese
- 一十三萬七千七百二十
- Chinese (financial)
- 壹拾參萬柒仟柒佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137720, here are decompositions:
- 7 + 137713 = 137720
- 13 + 137707 = 137720
- 61 + 137659 = 137720
- 67 + 137653 = 137720
- 97 + 137623 = 137720
- 127 + 137593 = 137720
- 229 + 137491 = 137720
- 277 + 137443 = 137720
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 A7 B8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.248.
- Address
- 0.2.25.248
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.25.248
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 137,720 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 137720 first appears in π at position 268,634 of the decimal expansion (the 268,634ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.