Search a number
-
+
132181596 = 223217215983
BaseRepresentation
bin1111110000011…
…10111001011100
3100012201112001200
413320032321130
5232314302341
621041035500
73163345041
oct770167134
9305645050
10132181596
1168681a98
1238325b90
1321500781
14137ab1c8
15b90edb6
hex7e0ee5c

132181596 has 36 divisors (see below), whose sum is σ = 353781792. Its totient is φ = 41468544.

The previous prime is 132181589. The next prime is 132181603. The reversal of 132181596 is 695181231.

It is an interprime number because it is at equal distance from previous prime (132181589) and next prime (132181603).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1321815962 = 34943948642214432, which contains 22 as substring.

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 132181596.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107380 + ... + 108603.

It is an arithmetic number, because the mean of its divisors is an integer number (9827272).

Almost surely, 2132181596 is an apocalyptic number.

It is an amenable number.

132181596 is an abundant number, since it is smaller than the sum of its proper divisors (221600196).

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

132181596 is a wasteful number, since it uses less digits than its factorization.

132181596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216010 (or 216005 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 132181596 is about 11497.0255283704. The cubic root of 132181596 is about 509.3977203962.

The spelling of 132181596 in words is "one hundred thirty-two million, one hundred eighty-one thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 215983 431966 647949 863932 1295898 1943847 2591796 3671711 3887694 7343422 7775388 11015133 14686844 22030266 33045399 44060532 66090798 132181596