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132764896 = 2511377173
BaseRepresentation
bin1111110100111…
…01010011100000
3100020211011012101
413322131103200
5232441434041
621101340144
73201324445
oct772352340
9306734171
10132764896
1168a40260
1238567654
1321676114
14138bd9cc
15b9c7b31
hex7e9d4e0

132764896 has 24 divisors (see below), whose sum is σ = 285143544. Its totient is φ = 60347520.

The previous prime is 132764887. The next prime is 132764899. The reversal of 132764896 is 698467231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132764899) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 188235 + ... + 188938.

It is an arithmetic number, because the mean of its divisors is an integer number (11880981).

Almost surely, 2132764896 is an apocalyptic number.

132764896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132764896 is an abundant number, since it is smaller than the sum of its proper divisors (152378648).

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

132764896 is a wasteful number, since it uses less digits than its factorization.

132764896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377194 (or 377186 counting only the distinct ones).

The product of its digits is 435456, while the sum is 46.

The square root of 132764896 is about 11522.3650350091. The cubic root of 132764896 is about 510.1459226169.

The spelling of 132764896 in words is "one hundred thirty-two million, seven hundred sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 377173 754346 1508692 3017384 4148903 6034768 8297806 12069536 16595612 33191224 66382448 132764896