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107312256 = 273331051
BaseRepresentation
bin1100110010101…
…11010010000000
321110221000202000
412121113102000
5204432443011
614352024000
72442065502
oct631272200
9243830660
10107312256
1155636317
122bb32000
1319303b9c
1410375d72
15964b356
hex6657480

107312256 has 64 divisors (see below), whose sum is σ = 316730400. Its totient is φ = 35769600.

The previous prime is 107312251. The next prime is 107312269. The reversal of 107312256 is 652213701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (107312251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12070 + ... + 18981.

Almost surely, 2107312256 is an apocalyptic number.

107312256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107312256 is an abundant number, since it is smaller than the sum of its proper divisors (209418144).

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

107312256 is an equidigital number, since it uses as much as digits as its factorization.

107312256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31074 (or 31056 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 107312256 is about 10359.1629005437. The cubic root of 107312256 is about 475.2073052647.

Adding to 107312256 its reverse (652213701), we get a palindrome (759525957).

The spelling of 107312256 in words is "one hundred seven million, three hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 31051 62102 93153 124204 186306 248408 279459 372612 496816 558918 745224 838377 993632 1117836 1490448 1676754 1987264 2235672 2980896 3353508 3974528 4471344 5961792 6707016 8942688 11923584 13414032 17885376 26828064 35770752 53656128 107312256