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132396957 = 33711431481
BaseRepresentation
bin1111110010000…
…11011110011101
3100020010110111000
413321003132131
5232343200312
621045420513
73165232650
oct771033635
9306113430
10132396957
1168809880
123840a739
13215777c4
1413825897
15b953adc
hex7e4379d

132396957 has 64 divisors (see below), whose sum is σ = 250398720. Its totient is φ = 67132800.

The previous prime is 132396941. The next prime is 132396973. The reversal of 132396957 is 759693231.

It is an interprime number because it is at equal distance from previous prime (132396941) and next prime (132396973).

It is not a de Polignac number, because 132396957 - 24 = 132396941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132396907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88657 + ... + 90137.

It is an arithmetic number, because the mean of its divisors is an integer number (3912480).

Almost surely, 2132396957 is an apocalyptic number.

It is an amenable number.

132396957 is a deficient number, since it is larger than the sum of its proper divisors (118001763).

132396957 is a wasteful number, since it uses less digits than its factorization.

132396957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1545 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 132396957 is about 11506.3876607735. The cubic root of 132396957 is about 509.6742210082.

The spelling of 132396957 in words is "one hundred thirty-two million, three hundred ninety-six thousand, nine hundred fifty-seven".

Divisors: 1 3 7 9 11 21 27 33 43 63 77 99 129 189 231 297 301 387 473 693 903 1161 1419 1481 2079 2709 3311 4257 4443 8127 9933 10367 12771 13329 16291 29799 31101 39987 48873 63683 89397 93303 114037 146619 191049 279909 342111 439857 445781 573147 700513 1026333 1337343 1719441 2101539 3078999 4012029 4903591 6304617 12036087 14710773 18913851 44132319 132396957