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116638704 = 24347132343
BaseRepresentation
bin1101111001111…
…00001111110000
322010110212020000
412330330033300
5214324414304
615323550000
72614261350
oct674741760
9263425200
10116638704
115a926426
123308b300
131b21acb0
14116c2b60
15a38e939
hex6f3c3f0

116638704 has 400 divisors, whose sum is σ = 443638272. Its totient is φ = 28740096.

The previous prime is 116638703. The next prime is 116638721. The reversal of 116638704 is 407836611.

116638704 is a `hidden beast` number, since 1 + 16 + 638 + 7 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116638703) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2712507 + ... + 2712549.

Almost surely, 2116638704 is an apocalyptic number.

116638704 is a gapful number since it is divisible by the number (14) 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 116638704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221819136).

116638704 is an abundant number, since it is smaller than the sum of its proper divisors (326999568).

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

116638704 is a wasteful number, since it uses less digits than its factorization.

116638704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 116638704 is about 10799.9399998333. The cubic root of 116638704 is about 488.5933613686.

The spelling of 116638704 in words is "one hundred sixteen million, six hundred thirty-eight thousand, seven hundred four".