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152634132 = 2235722433
BaseRepresentation
bin10010001100100…
…00001100010100
3101122012121200000
421012100030110
5303033243012
623051251300
73532240320
oct1106201424
9348177600
10152634132
1179181312
1243149b30
1325811b71
14163b2980
15d5eeddc
hex9190314

152634132 has 72 divisors (see below), whose sum is σ = 457294656. Its totient is φ = 43607808.

The previous prime is 152634127. The next prime is 152634151. The reversal of 152634132 is 231436251.

152634132 is a `hidden beast` number, since 1 + 526 + 3 + 4 + 132 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 152634096 and 152634105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4413 + ... + 18020.

Almost surely, 2152634132 is an apocalyptic number.

152634132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152634132 is an abundant number, since it is smaller than the sum of its proper divisors (304660524).

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

152634132 is a wasteful number, since it uses less digits than its factorization.

152634132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22459 (or 22445 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 152634132 is about 12354.5186875086. The cubic root of 152634132 is about 534.4214574568.

The spelling of 152634132 in words is "one hundred fifty-two million, six hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 22433 44866 67299 89732 134598 157031 201897 269196 314062 403794 471093 605691 628124 807588 942186 1211382 1413279 1817073 1884372 2422764 2826558 3634146 4239837 5451219 5653116 7268292 8479674 10902438 12719511 16959348 21804876 25439022 38158533 50878044 76317066 152634132