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132096825 = 345279319
BaseRepresentation
bin1111101111110…
…10001100111001
3100012120012210000
413313322030321
5232304044300
621035143213
73162542640
oct767721471
9305505700
10132096825
1168624333
12382a4b09
13214a1003
1413788357
15b8e4c00
hex7dfa339

132096825 has 60 divisors (see below), whose sum is σ = 279674560. Its totient is φ = 60380640.

The previous prime is 132096823. The next prime is 132096847. The reversal of 132096825 is 528690231.

It is not a de Polignac number, because 132096825 - 21 = 132096823 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132096825.

It is not an unprimeable number, because it can be changed into a prime (132096823) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9516 + ... + 18834.

Almost surely, 2132096825 is an apocalyptic number.

132096825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132096825 is an abundant number, since it is smaller than the sum of its proper divisors (147577735).

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

132096825 is an equidigital number, since it uses as much as digits as its factorization.

132096825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9348 (or 9334 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 132096825 is about 11493.3382878953. The cubic root of 132096825 is about 509.2888010762.

The spelling of 132096825 in words is "one hundred thirty-two million, ninety-six thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 225 315 405 525 567 675 945 1575 2025 2835 4725 9319 14175 27957 46595 65233 83871 139785 195699 232975 251613 326165 419355 587097 698925 754839 978495 1258065 1630825 1761291 2096775 2935485 3774195 4892475 5283873 6290325 8806455 14677425 18870975 26419365 44032275 132096825