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153933132 = 22312827761
BaseRepresentation
bin10010010110011…
…01010101001100
3101201122121120010
421023031111030
5303401330012
623135153220
73546260433
oct1113152514
9351577503
10153933132
1179989271
1243675810
1325b781c2
141663011a
15d7a9c3c
hex92cd54c

153933132 has 12 divisors (see below), whose sum is σ = 359177336. Its totient is φ = 51311040.

The previous prime is 153933127. The next prime is 153933137. The reversal of 153933132 is 231339351.

It is an interprime number because it is at equal distance from previous prime (153933127) and next prime (153933137).

It is a tau number, because it is divible by the number of its divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 153933132.

It is not an unprimeable number, because it can be changed into a prime (153933137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6413869 + ... + 6413892.

Almost surely, 2153933132 is an apocalyptic number.

153933132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

153933132 is an abundant number, since it is smaller than the sum of its proper divisors (205244204).

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

153933132 is a wasteful number, since it uses less digits than its factorization.

153933132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12827768 (or 12827766 counting only the distinct ones).

The product of its digits is 7290, while the sum is 30.

The square root of 153933132 is about 12406.9791649700. The cubic root of 153933132 is about 535.9332498372.

The spelling of 153933132 in words is "one hundred fifty-three million, nine hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 12827761 25655522 38483283 51311044 76966566 153933132