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117512928 = 25321331387
BaseRepresentation
bin1110000000100…
…01101011100000
322012010021102200
413000101223200
5220040403203
615354413200
72624562201
oct700215340
9265107380
10117512928
1160373225
1233431200
131b465ba0
141186d5a8
15a4b39a3
hex7011ae0

117512928 has 72 divisors (see below), whose sum is σ = 359894808. Its totient is φ = 36156672.

The previous prime is 117512903. The next prime is 117512933. The reversal of 117512928 is 829215711.

It is a happy number.

117512928 is a `hidden beast` number, since 117 + 512 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 117512892 and 117512901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11950 + ... + 19437.

It is an arithmetic number, because the mean of its divisors is an integer number (4998539).

Almost surely, 2117512928 is an apocalyptic number.

117512928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

117512928 is an abundant number, since it is smaller than the sum of its proper divisors (242381880).

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

117512928 is a wasteful number, since it uses less digits than its factorization.

117512928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31416 (or 31405 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The square root of 117512928 is about 10840.3380021105. The cubic root of 117512928 is about 489.8110169461.

The spelling of 117512928 in words is "one hundred seventeen million, five hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 31387 62774 94161 125548 188322 251096 282483 376644 408031 502192 564966 753288 816062 1004384 1129932 1224093 1506576 1632124 2259864 2448186 3013152 3264248 3672279 4519728 4896372 6528496 7344558 9039456 9792744 13056992 14689116 19585488 29378232 39170976 58756464 117512928