Search a number
-
+
132981732 = 223213284149
BaseRepresentation
bin1111110110100…
…10001111100100
3100021020011122100
413323102033210
5233020403412
621110132100
73203216562
oct773221744
9307204570
10132981732
1169079164
1238651030
1321720a20
1413938a32
15ba1bedc
hex7ed23e4

132981732 has 36 divisors (see below), whose sum is σ = 362007100. Its totient is φ = 40917312.

The previous prime is 132981713. The next prime is 132981743. The reversal of 132981732 is 237189231.

It can be written as a sum of positive squares in 2 ways, for example, as 78428736 + 54552996 = 8856^2 + 7386^2 .

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

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

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, 141607 + ... + 142542.

Almost surely, 2132981732 is an apocalyptic number.

132981732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132981732 is an abundant number, since it is smaller than the sum of its proper divisors (229025368).

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

132981732 is a wasteful number, since it uses less digits than its factorization.

132981732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284172 (or 284167 counting only the distinct ones).

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

The square root of 132981732 is about 11531.7705492262. The cubic root of 132981732 is about 510.4235005951.

The spelling of 132981732 in words is "one hundred thirty-two million, nine hundred eighty-one thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 284149 568298 852447 1136596 1704894 2557341 3409788 3693937 5114682 7387874 10229364 11081811 14775748 22163622 33245433 44327244 66490866 132981732