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132197832 = 2335135231
BaseRepresentation
bin1111110000100…
…10110111001000
3100012202100100000
413320102313020
5232320312312
621041243000
73163443264
oct770226710
9305670300
10132197832
1168693208
1238333460
1321507c90
14137b30a4
15b914adc
hex7e12dc8

132197832 has 96 divisors (see below), whose sum is σ = 399934080. Its totient is φ = 40668480.

The previous prime is 132197827. The next prime is 132197837. The reversal of 132197832 is 238791231.

It is an interprime number because it is at equal distance from previous prime (132197827) and next prime (132197837).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (132197837) 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, 22657 + ... + 27887.

It is an arithmetic number, because the mean of its divisors is an integer number (4165980).

Almost surely, 2132197832 is an apocalyptic number.

132197832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132197832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199967040).

132197832 is an abundant number, since it is smaller than the sum of its proper divisors (267736248).

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

132197832 is a wasteful number, since it uses less digits than its factorization.

132197832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5265 (or 5249 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 132197832 is about 11497.7316023640. The cubic root of 132197832 is about 509.4185761559.

The spelling of 132197832 in words is "one hundred thirty-two million, one hundred ninety-seven thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 936 972 1053 1404 1944 2106 2808 3159 4212 5231 6318 8424 10462 12636 15693 20924 25272 31386 41848 47079 62772 68003 94158 125544 136006 141237 188316 204009 272012 282474 376632 408018 423711 544024 564948 612027 816036 847422 1129896 1224054 1271133 1632072 1694844 1836081 2448108 2542266 3389688 3672162 4896216 5084532 5508243 7344324 10169064 11016486 14688648 16524729 22032972 33049458 44065944 66098916 132197832