Search a number
-
+
132064724 = 2211229972
BaseRepresentation
bin1111101111100…
…10010111010100
3100012111120202002
413313302113110
5232302032344
621034334432
73162350231
oct767622724
9305446662
10132064724
1168602200
123828a418
132148c50c
141377a788
15b8da44e
hex7df25d4

132064724 has 54 divisors (see below), whose sum is σ = 265530510. Its totient is φ = 57361920.

The previous prime is 132064717. The next prime is 132064733. The reversal of 132064724 is 427460231.

It can be written as a sum of positive squares in 3 ways, for example, as 15856324 + 116208400 = 3982^2 + 10780^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1361444 + ... + 1361540.

Almost surely, 2132064724 is an apocalyptic number.

It is an amenable number.

132064724 is an abundant number, since it is smaller than the sum of its proper divisors (133465786).

132064724 is a wasteful number, since it uses less digits than its factorization.

132064724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 132064724 is about 11491.9416984250. The cubic root of 132064724 is about 509.2475434500.

Multiplying 132064724 by its sum of digits (29), we get a square (3829876996 = 618862).

132064724 divided by its sum of digits (29) gives a square (4553956 = 21342).

The spelling of 132064724 in words is "one hundred thirty-two million, sixty-four thousand, seven hundred twenty-four".

Divisors: 1 2 4 11 22 29 44 58 97 116 121 194 242 319 388 484 638 1067 1276 2134 2813 3509 4268 5626 7018 9409 11252 11737 14036 18818 23474 30943 37636 46948 61886 103499 123772 206998 272861 340373 413996 545722 680746 1091444 1138489 1361492 2276978 3001471 4553956 6002942 12005884 33016181 66032362 132064724