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116108640 = 2534517231
BaseRepresentation
bin1101110101110…
…10110101100000
322002110221010000
412322322311200
5214210434030
615304340000
72606623104
oct672726540
9262427100
10116108640
115a5a415a
1232a74600
131b09394b
14115c5904
15a2d7860
hex6ebad60

116108640 has 360 divisors, whose sum is σ = 449330112. Its totient is φ = 28200960.

The previous prime is 116108633. The next prime is 116108651. The reversal of 116108640 is 46801611.

116108640 is a `hidden beast` number, since 1 + 1 + 6 + 10 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3745425 + ... + 3745455.

Almost surely, 2116108640 is an apocalyptic number.

116108640 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 116108640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224665056).

116108640 is an abundant number, since it is smaller than the sum of its proper divisors (333221472).

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

116108640 is a wasteful number, since it uses less digits than its factorization.

116108640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 116108640 is about 10775.3719193353. The cubic root of 116108640 is about 487.8521006609.

The spelling of 116108640 in words is "one hundred sixteen million, one hundred eight thousand, six hundred forty".