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132724940 = 225107109569
BaseRepresentation
bin1111110100100…
…11100011001100
3100020202010101112
413322103203030
5232434144230
621100431152
73201100115
oct772234314
9306663345
10132724940
1168a13237
12385484b8
1321660b8a
14138ad20c
15b9bad95
hex7e938cc

132724940 has 48 divisors (see below), whose sum is σ = 284407200. Its totient is φ = 52019712.

The previous prime is 132724939. The next prime is 132724979. The reversal of 132724940 is 49427231.

It is a junction number, because it is equal to n+sod(n) for n = 132724897 and 132724906.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232976 + ... + 233544.

It is an arithmetic number, because the mean of its divisors is an integer number (5925150).

Almost surely, 2132724940 is an apocalyptic number.

132724940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132724940 is an abundant number, since it is smaller than the sum of its proper divisors (151682260).

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

132724940 is a wasteful number, since it uses less digits than its factorization.

132724940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 132724940 is about 11520.6310591044. The cubic root of 132724940 is about 510.0947408255.

The spelling of 132724940 in words is "one hundred thirty-two million, seven hundred twenty-four thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 107 109 214 218 428 436 535 545 569 1070 1090 1138 2140 2180 2276 2845 5690 11380 11663 23326 46652 58315 60883 62021 116630 121766 124042 233260 243532 248084 304415 310105 608830 620210 1217660 1240420 6636247 13272494 26544988 33181235 66362470 132724940