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116643456 = 273333751
BaseRepresentation
bin1101111001111…
…01011010000000
322010111002202000
412330331122000
5214330042311
615324024000
72614311246
oct674753200
9263432660
10116643456
115a929a56
1233092000
131b2201c7
14116c4796
15a391056
hex6f3d680

116643456 has 64 divisors (see below), whose sum is σ = 344270400. Its totient is φ = 38880000.

The previous prime is 116643389. The next prime is 116643463. The reversal of 116643456 is 654346611.

It is a happy number.

116643456 is a `hidden beast` number, since 1 + 1 + 6 + 643 + 4 + 5 + 6 = 666.

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 116643456.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13420 + ... + 20331.

It is an arithmetic number, because the mean of its divisors is an integer number (5379225).

Almost surely, 2116643456 is an apocalyptic number.

116643456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

116643456 is an abundant number, since it is smaller than the sum of its proper divisors (227626944).

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

116643456 is an equidigital number, since it uses as much as digits as its factorization.

116643456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33774 (or 33756 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 116643456 is about 10800.1599988148. The cubic root of 116643456 is about 488.5999965707.

The spelling of 116643456 in words is "one hundred sixteen million, six hundred forty-three thousand, four 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 33751 67502 101253 135004 202506 270008 303759 405012 540016 607518 810024 911277 1080032 1215036 1620048 1822554 2160064 2430072 3240096 3645108 4320128 4860144 6480192 7290216 9720288 12960384 14580432 19440576 29160864 38881152 58321728 116643456