Search a number
-
+
132696288 = 25321727103
BaseRepresentation
bin1111110100011…
…00100011100000
3100020200200002100
413322030203200
5232432240123
621100050400
73200620434
oct772144340
9306620070
10132696288
11689a375a
1238533a00
1321650b1a
14138a29c4
15b9b2643
hex7e8c8e0

132696288 has 72 divisors (see below), whose sum is σ = 399567168. Its totient is φ = 41628672.

The previous prime is 132696281. The next prime is 132696301. The reversal of 132696288 is 882696231.

132696288 is a `hidden beast` number, since 13 + 2 + 6 + 9 + 628 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132696281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8656 + ... + 18447.

It is an arithmetic number, because the mean of its divisors is an integer number (5549544).

Almost surely, 2132696288 is an apocalyptic number.

132696288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132696288 is an abundant number, since it is smaller than the sum of its proper divisors (266870880).

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

132696288 is a wasteful number, since it uses less digits than its factorization.

132696288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27136 (or 27125 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 132696288 is about 11519.3874837163. The cubic root of 132696288 is about 510.0580326119.

The spelling of 132696288 in words is "one hundred thirty-two million, six hundred ninety-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 27103 54206 81309 108412 162618 216824 243927 325236 433648 460751 487854 650472 867296 921502 975708 1300944 1382253 1843004 1951416 2601888 2764506 3686008 3902832 4146759 5529012 7372016 7805664 8293518 11058024 14744032 16587036 22116048 33174072 44232096 66348144 132696288