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132031296 = 263425469
BaseRepresentation
bin1111101111010…
…10001101000000
3100012102212220000
413313222031000
5232300000141
621033520000
73162150615
oct767521500
9305385800
10132031296
116858a081
1238273000
132147a237
141376c50c
15b8d05b6
hex7dea340

132031296 has 70 divisors (see below), whose sum is σ = 391397490. Its totient is φ = 44008704.

The previous prime is 132031253. The next prime is 132031297. The reversal of 132031296 is 692130231.

It can be written as a sum of positive squares in only one way, i.e., 124545600 + 7485696 = 11160^2 + 2736^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132031297) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7551 + ... + 17918.

Almost surely, 2132031296 is an apocalyptic number.

132031296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132031296 is an abundant number, since it is smaller than the sum of its proper divisors (259366194).

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

132031296 is an equidigital number, since it uses as much as digits as its factorization.

132031296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25493 (or 25474 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 132031296 is about 11490.4871959373. The cubic root of 132031296 is about 509.2045731981.

The spelling of 132031296 in words is "one hundred thirty-two million, thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 25469 50938 76407 101876 152814 203752 229221 305628 407504 458442 611256 687663 815008 916884 1222512 1375326 1630016 1833768 2062989 2445024 2750652 3667536 4125978 4890048 5501304 7335072 8251956 11002608 14670144 16503912 22005216 33007824 44010432 66015648 132031296