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132931392 = 26311113557
BaseRepresentation
bin1111110110001…
…01111101000000
3100021010121120220
413323011331000
5233012301032
621105103040
73202620036
oct773057500
9307117526
10132931392
1169044360
1238627a80
1321703b39
1413924556
15ba0c12c
hex7ec5f40

132931392 has 112 divisors (see below), whose sum is σ = 387778752. Its totient is φ = 39854080.

The previous prime is 132931373. The next prime is 132931397. The reversal of 132931392 is 293139231.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132931397) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238378 + ... + 238934.

Almost surely, 2132931392 is an apocalyptic number.

132931392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132931392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193889376).

132931392 is an abundant number, since it is smaller than the sum of its proper divisors (254847360).

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

132931392 is a wasteful number, since it uses less digits than its factorization.

132931392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 686 counting only the distinct ones).

The product of its digits is 8748, while the sum is 33.

The square root of 132931392 is about 11529.5876769293. The cubic root of 132931392 is about 510.3590858279.

It can be divided in two parts, 132 and 931392, that multiplied together give a square (122943744 = 110882).

The spelling of 132931392 in words is "one hundred thirty-two million, nine hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 113 132 176 192 226 264 339 352 452 528 557 678 704 904 1056 1114 1243 1356 1671 1808 2112 2228 2486 2712 3342 3616 3729 4456 4972 5424 6127 6684 7232 7458 8912 9944 10848 12254 13368 14916 17824 18381 19888 21696 24508 26736 29832 35648 36762 39776 49016 53472 59664 62941 73524 79552 98032 106944 119328 125882 147048 188823 196064 238656 251764 294096 377646 392128 503528 588192 692351 755292 1007056 1176384 1384702 1510584 2014112 2077053 2769404 3021168 4028224 4154106 5538808 6042336 8308212 11077616 12084672 16616424 22155232 33232848 44310464 66465696 132931392