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133152432 = 24371723311
BaseRepresentation
bin1111110111110…
…11111010110000
3100021112211210120
413323323322300
5233041334212
621113530240
73204530340
oct773737260
9307484716
10133152432
1169185436
1238713980
132178062a
1413980d20
15ba5288c
hex7efbeb0

133152432 has 80 divisors (see below), whose sum is σ = 416259072. Its totient is φ = 35804160.

The previous prime is 133152431. The next prime is 133152433. The reversal of 133152432 is 234251331.

It is an interprime number because it is at equal distance from previous prime (133152431) and next prime (133152433).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (133152431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5944 + ... + 17367.

Almost surely, 2133152432 is an apocalyptic number.

133152432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133152432 is an abundant number, since it is smaller than the sum of its proper divisors (283106640).

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

133152432 is a wasteful number, since it uses less digits than its factorization.

133152432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23346 (or 23340 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 133152432 is about 11539.1694675137. The cubic root of 133152432 is about 510.6418063630.

The spelling of 133152432 in words is "one hundred thirty-three million, one hundred fifty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2856 5712 23311 46622 69933 93244 139866 163177 186488 279732 326354 372976 396287 489531 559464 652708 792574 979062 1118928 1188861 1305416 1585148 1958124 2377722 2610832 2774009 3170296 3916248 4755444 5548018 6340592 7832496 8322027 9510888 11096036 16644054 19021776 22192072 33288108 44384144 66576216 133152432