Search a number
-
+
132141088 = 2579167313
BaseRepresentation
bin1111110000001…
…01000000100000
3100012122110111101
413320011000200
5232312003323
621040124144
73163115662
oct770050040
9305573441
10132141088
1168654612
1238306654
13214b81c1
141379a532
15b902dad
hex7e05020

132141088 has 48 divisors (see below), whose sum is σ = 265870080. Its totient is φ = 64636416.

The previous prime is 132141083. The next prime is 132141131. The reversal of 132141088 is 880141231.

It is a super-2 number, since 2×1321410882 = 34922534275647488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132141083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 422020 + ... + 422332.

It is an arithmetic number, because the mean of its divisors is an integer number (5538960).

Almost surely, 2132141088 is an apocalyptic number.

It is an amenable number.

132141088 is an abundant number, since it is smaller than the sum of its proper divisors (133728992).

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

132141088 is a wasteful number, since it uses less digits than its factorization.

132141088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 132141088 is about 11495.2637203328. The cubic root of 132141088 is about 509.3456788823.

The spelling of 132141088 in words is "one hundred thirty-two million, one hundred forty-one thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 79 158 167 313 316 334 626 632 668 1252 1264 1336 2504 2528 2672 5008 5344 10016 13193 24727 26386 49454 52271 52772 98908 104542 105544 197816 209084 211088 395632 418168 422176 791264 836336 1672672 4129409 8258818 16517636 33035272 66070544 132141088