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116476920 = 23335723171
BaseRepresentation
bin1101111000101…
…00101111111000
322010011122022000
412330110233320
5214304230140
615320301000
72613015600
oct674245770
9263148260
10116476920
115a82591a
1233011760
131b192471
141167dc00
15a35ba30
hex6f14bf8

116476920 has 384 divisors, whose sum is σ = 472780800. Its totient is φ = 25401600.

The previous prime is 116476909. The next prime is 116476931. The reversal of 116476920 is 29674611.

116476920 is a `hidden beast` number, since 1 + 1 + 647 + 6 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (116476909) and next prime (116476931).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1640485 + ... + 1640555.

It is an arithmetic number, because the mean of its divisors is an integer number (1231200).

Almost surely, 2116476920 is an apocalyptic number.

116476920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116476920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236390400).

116476920 is an abundant number, since it is smaller than the sum of its proper divisors (356303880).

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

116476920 is a wasteful number, since it uses less digits than its factorization.

116476920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 116476920 is about 10792.4473591489. The cubic root of 116476920 is about 488.3673553029.

The spelling of 116476920 in words is "one hundred sixteen million, four hundred seventy-six thousand, nine hundred twenty".