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136926432 = 25321727967
BaseRepresentation
bin10000010100101…
…01010011100000
3100112122120202100
420022111103200
5240023121212
621330450400
73251566266
oct1012252340
9315576670
10136926432
1170322945
1239a33a00
13224a2376
1414284436
15c04abdc
hex82954e0

136926432 has 72 divisors (see below), whose sum is σ = 412304256. Its totient is φ = 42955776.

The previous prime is 136926421. The next prime is 136926469. The reversal of 136926432 is 234629631.

136926432 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 2 + 643 + 2 = 666.

136926432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 nude number because it is divisible by every one of its digits.

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, 9088 + ... + 18879.

It is an arithmetic number, because the mean of its divisors is an integer number (5726448).

Almost surely, 2136926432 is an apocalyptic number.

136926432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136926432 is an abundant number, since it is smaller than the sum of its proper divisors (275377824).

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

136926432 is a wasteful number, since it uses less digits than its factorization.

136926432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28000 (or 27989 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 136926432 is about 11701.5568195006. The cubic root of 136926432 is about 515.4213813322.

The spelling of 136926432 in words is "one hundred thirty-six million, nine hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 27967 55934 83901 111868 167802 223736 251703 335604 447472 475439 503406 671208 894944 950878 1006812 1342416 1426317 1901756 2013624 2684832 2852634 3803512 4027248 4278951 5705268 7607024 8054496 8557902 11410536 15214048 17115804 22821072 34231608 45642144 68463216 136926432