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132025944 = 233171512143
BaseRepresentation
bin1111101111010…
…00111001011000
3100012102121112210
413313220321120
5232244312234
621033435120
73162126201
oct767507130
9305377483
10132025944
1168586056
123826baa0
132147797b
141376a5a8
15b8cdbe9
hex7de8e58

132025944 has 64 divisors (see below), whose sum is σ = 351959040. Its totient is φ = 41126400.

The previous prime is 132025939. The next prime is 132025967. The reversal of 132025944 is 449520231.

It is a super-2 number, since 2×1320259442 = 34861699778182272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 60537 + ... + 62679.

It is an arithmetic number, because the mean of its divisors is an integer number (5499360).

Almost surely, 2132025944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132025944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175979520).

132025944 is an abundant number, since it is smaller than the sum of its proper divisors (219933096).

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

132025944 is a wasteful number, since it uses less digits than its factorization.

132025944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 132025944 is about 11490.2543052798. The cubic root of 132025944 is about 509.1976927594.

The spelling of 132025944 in words is "one hundred thirty-two million, twenty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 151 204 302 408 453 604 906 1208 1812 2143 2567 3624 4286 5134 6429 7701 8572 10268 12858 15402 17144 20536 25716 30804 36431 51432 61608 72862 109293 145724 218586 291448 323593 437172 647186 874344 970779 1294372 1941558 2588744 3883116 5501081 7766232 11002162 16503243 22004324 33006486 44008648 66012972 132025944