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116964135 = 3352932957
BaseRepresentation
bin1101111100010…
…11101100100111
322011002101122000
412332023230213
5214420323020
615334540343
72620115211
oct676135447
9264071560
10116964135
1160028982
12332076b3
131b303162
14117695b1
15a406090
hex6f8bb27

116964135 has 32 divisors (see below), whose sum is σ = 208716480. Its totient is φ = 62146944.

The previous prime is 116964121. The next prime is 116964139. The reversal of 116964135 is 531469611.

116964135 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 641 + 3 + 5 = 666.

It is not a de Polignac number, because 116964135 - 24 = 116964119 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 116964135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116964139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38077 + ... + 41033.

It is an arithmetic number, because the mean of its divisors is an integer number (6522390).

Almost surely, 2116964135 is an apocalyptic number.

116964135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

116964135 is a deficient number, since it is larger than the sum of its proper divisors (91752345).

116964135 is a wasteful number, since it uses less digits than its factorization.

116964135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264 (or 3258 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 116964135 is about 10814.9958391115. The cubic root of 116964135 is about 489.0473438297.

The spelling of 116964135 in words is "one hundred sixteen million, nine hundred sixty-four thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 135 293 879 1465 2637 2957 4395 7911 8871 13185 14785 26613 39555 44355 79839 133065 399195 866401 2599203 4332005 7797609 12996015 23392827 38988045 116964135