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132131296 = 2511375373
BaseRepresentation
bin1111110000000…
…10100111100000
3100012121222001201
413320002213200
5232311200141
621040010544
73163045303
oct770024740
9305558051
10132131296
1168648220
1238300a54
13214b38cb
1413796b3a
15b900031
hex7e029e0

132131296 has 24 divisors (see below), whose sum is σ = 283782744. Its totient is φ = 60059520.

The previous prime is 132131287. The next prime is 132131299. The reversal of 132131296 is 692131231.

132131296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132131299) 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, 187335 + ... + 188038.

It is an arithmetic number, because the mean of its divisors is an integer number (11824281).

Almost surely, 2132131296 is an apocalyptic number.

132131296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132131296 is an abundant number, since it is smaller than the sum of its proper divisors (151651448).

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

132131296 is a wasteful number, since it uses less digits than its factorization.

132131296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375394 (or 375386 counting only the distinct ones).

The product of its digits is 1944, while the sum is 28.

The square root of 132131296 is about 11494.8377978987. The cubic root of 132131296 is about 509.3330972895. Note that the first 3 decimals are identical.

The spelling of 132131296 in words is "one hundred thirty-two million, one hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 375373 750746 1501492 3002984 4129103 6005968 8258206 12011936 16516412 33032824 66065648 132131296