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132657504 = 2537228201
BaseRepresentation
bin1111110100000…
…11000101100000
3100020121200212220
413322003011200
5232430020004
621055151040
73200366400
oct772030540
9306550786
10132657504
1168977601
1238515480
1321639285
1413892800
15b9a5dd9
hex7e83160

132657504 has 72 divisors (see below), whose sum is σ = 405093528. Its totient is φ = 37900800.

The previous prime is 132657467. The next prime is 132657523. The reversal of 132657504 is 405756231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9397 + ... + 18804.

It is an arithmetic number, because the mean of its divisors is an integer number (5626299).

Almost surely, 2132657504 is an apocalyptic number.

132657504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132657504 is an abundant number, since it is smaller than the sum of its proper divisors (272436024).

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

132657504 is a wasteful number, since it uses less digits than its factorization.

132657504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28228 (or 28213 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 132657504 is about 11517.7039378515. The cubic root of 132657504 is about 510.0083351194.

The spelling of 132657504 in words is "one hundred thirty-two million, six hundred fifty-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 28201 56402 84603 112804 169206 197407 225608 338412 394814 451216 592221 676824 789628 902432 1184442 1353648 1381849 1579256 2368884 2707296 2763698 3158512 4145547 4737768 5527396 6317024 8291094 9475536 11054792 16582188 18951072 22109584 33164376 44219168 66328752 132657504