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959680113 = 37318317761
BaseRepresentation
bin111001001100111…
…000111001110001
32110212210210121220
4321030320321301
53431134230423
6235121135253
732532101130
oct7114707161
92425723556
10959680113
11452794967
1222948a529
13123a90b72
1491653917
15593b99e3
hex39338e71

959680113 has 32 divisors (see below), whose sum is σ = 1527816192. Its totient is φ = 524275200.

The previous prime is 959680109. The next prime is 959680123. The reversal of 959680113 is 311086959.

It is not a de Polignac number, because 959680113 - 22 = 959680109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (959680103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45153 + ... + 62913.

It is an arithmetic number, because the mean of its divisors is an integer number (47744256).

Almost surely, 2959680113 is an apocalyptic number.

959680113 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

It is an amenable number.

959680113 is a deficient number, since it is larger than the sum of its proper divisors (568136079).

959680113 is a wasteful number, since it uses less digits than its factorization.

959680113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17885.

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 959680113 is about 30978.7041852948. The cubic root of 959680113 is about 986.3752468400.

The spelling of 959680113 in words is "nine hundred fifty-nine million, six hundred eighty thousand, one hundred thirteen".

Divisors: 1 3 7 21 31 83 93 217 249 581 651 1743 2573 7719 17761 18011 53283 54033 124327 372981 550591 1474163 1651773 3854137 4422489 10319141 11562411 30957423 45699053 137097159 319893371 959680113