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132325596 = 2233133072
BaseRepresentation
bin1111110001100…
…10000011011100
3100012222211121000
413320302003130
5232333404341
621044110300
73164514624
oct770620334
9305884530
10132325596
11687701a7
1238395390
1321551190
1413807884
15b93c8b6
hex7e320dc

132325596 has 72 divisors (see below), whose sum is σ = 370663440. Its totient is φ = 40582944.

The previous prime is 132325591. The next prime is 132325597. The reversal of 132325596 is 695523231.

132325596 is a `hidden beast` number, since 1 + 32 + 32 + 5 + 596 = 666.

132325596 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 132325596.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132325591) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430875 + ... + 431181.

Almost surely, 2132325596 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 132325596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185331720).

132325596 is an abundant number, since it is smaller than the sum of its proper divisors (238337844).

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

132325596 is a wasteful number, since it uses less digits than its factorization.

132325596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 325 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 132325596 is about 11503.2863130498. The cubic root of 132325596 is about 509.5826343146.

The spelling of 132325596 in words is "one hundred thirty-two million, three hundred twenty-five thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 307 351 468 614 702 921 1228 1404 1842 2763 3684 3991 5526 7982 8289 11052 11973 15964 16578 23946 33156 35919 47892 71838 94249 107757 143676 188498 215514 282747 376996 431028 565494 848241 1130988 1225237 1696482 2450474 2544723 3392964 3675711 4900948 5089446 7351422 10178892 11027133 14702844 22054266 33081399 44108532 66162798 132325596