Search a number
-
+
132130944 = 27321110427
BaseRepresentation
bin1111110000000…
…10100010000000
3100012121221120200
413320002202000
5232311142234
621040005200
73163044261
oct770024200
9305557520
10132130944
1168647a30
1238300800
13214b36ba
1413796968
15b8eed99
hex7e02880

132130944 has 96 divisors (see below), whose sum is σ = 414825840. Its totient is φ = 40035840.

The previous prime is 132130903. The next prime is 132130963. The reversal of 132130944 is 449031231.

132130944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1321309442 = 34917172724662272, which contains 22 as substring.

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, 7459 + ... + 17885.

Almost surely, 2132130944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132130944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207412920).

132130944 is an abundant number, since it is smaller than the sum of its proper divisors (282694896).

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

132130944 is a wasteful number, since it uses less digits than its factorization.

132130944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10458 (or 10443 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 132130944 is about 11494.8224866676. The cubic root of 132130944 is about 509.3326449984.

The spelling of 132130944 in words is "one hundred thirty-two million, one hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 10427 12672 20854 31281 41708 62562 83416 93843 114697 125124 166832 187686 229394 250248 333664 344091 375372 458788 500496 667328 688182 750744 917576 1000992 1032273 1334656 1376364 1501488 1835152 2001984 2064546 2752728 3002976 3670304 4003968 4129092 5505456 6005952 7340608 8258184 11010912 12011904 14681216 16516368 22021824 33032736 44043648 66065472 132130944