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107131456 = 269717257
BaseRepresentation
bin1100110001010…
…11001001000000
321110120211201201
412120223021000
5204411201311
614344110544
72440413415
oct630531100
9243524651
10107131456
11555224a3
122ba65454
131926c7c3
141032a10c
1596129c1
hex662b240

107131456 has 28 divisors (see below), whose sum is σ = 214793068. Its totient is φ = 53010432.

The previous prime is 107131439. The next prime is 107131457. The reversal of 107131456 is 654131701.

It can be written as a sum of positive squares in 2 ways, for example, as 21013056 + 86118400 = 4584^2 + 9280^2 .

It is a super-2 number, since 2×1071314562 = 22954297729359872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107131457) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2421 + ... + 14836.

It is an arithmetic number, because the mean of its divisors is an integer number (7671181).

Almost surely, 2107131456 is an apocalyptic number.

107131456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107131456 is an abundant number, since it is smaller than the sum of its proper divisors (107661612).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107131456 is an equidigital number, since it uses as much as digits as its factorization.

107131456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17366 (or 17356 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 107131456 is about 10350.4326479621. The cubic root of 107131456 is about 474.9402783641.

The spelling of 107131456 in words is "one hundred seven million, one hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 97 194 388 776 1552 3104 6208 17257 34514 69028 138056 276112 552224 1104448 1673929 3347858 6695716 13391432 26782864 53565728 107131456