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116922960 = 243357111937
BaseRepresentation
bin1101111100000…
…01101001010000
322011000022011000
412332001221100
5214413013320
615334022000
72616554160
oct676015120
9264008130
10116922960
115aaaaa50
12331a7900
131b2ba4ab
14117585a0
15a3e8c90
hex6f81a50

116922960 has 640 divisors, whose sum is σ = 542822400. Its totient is φ = 22394880.

The previous prime is 116922959. The next prime is 116923039. The reversal of 116922960 is 69229611.

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 127 ways as a sum of consecutive naturals, for example, 3160062 + ... + 3160098.

It is an arithmetic number, because the mean of its divisors is an integer number (848160).

Almost surely, 2116922960 is an apocalyptic number.

116922960 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 116922960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271411200).

116922960 is an abundant number, since it is smaller than the sum of its proper divisors (425899440).

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

116922960 is a wasteful number, since it uses less digits than its factorization.

116922960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 116922960 is about 10813.0920647149. The cubic root of 116922960 is about 488.9899504879.

It can be divided in two parts, 1 and 16922960, that added together give a palindrome (16922961).

The spelling of 116922960 in words is "one hundred sixteen million, nine hundred twenty-two thousand, nine hundred sixty".