Search a number
-
+
132575968 = 257284551
BaseRepresentation
bin1111110011011…
…11001011100000
3100020110120001001
413321233023200
5232414412333
621053321344
73166606600
oct771571340
9306416031
10132575968
1168921318
1238496254
132160b125
1413870c00
15b98bb7d
hex7e6f2e0

132575968 has 36 divisors (see below), whose sum is σ = 303626232. Its totient is φ = 56817600.

The previous prime is 132575899. The next prime is 132576019. The reversal of 132575968 is 869575231.

It is a super-2 number, since 2×1325759682 = 35152774582274048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40708 + ... + 43843.

It is an arithmetic number, because the mean of its divisors is an integer number (8434062).

Almost surely, 2132575968 is an apocalyptic number.

It is an amenable number.

132575968 is an abundant number, since it is smaller than the sum of its proper divisors (171050264).

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

132575968 is an equidigital number, since it uses as much as digits as its factorization.

132575968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84575 (or 84560 counting only the distinct ones).

The product of its digits is 453600, while the sum is 46.

The square root of 132575968 is about 11514.1637994255. The cubic root of 132575968 is about 509.9038239762.

The spelling of 132575968 in words is "one hundred thirty-two million, five hundred seventy-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 84551 169102 338204 591857 676408 1183714 1352816 2367428 2705632 4142999 4734856 8285998 9469712 16571996 18939424 33143992 66287984 132575968