Search a number
-
+
132910592 = 29436037
BaseRepresentation
bin1111110110000…
…00111000000000
3100021002120001112
413323000320000
5233011114332
621104422452
73202502303
oct773007000
9307076045
10132910592
116902a771
1238617a28
13216c7529
141391ab3a
15ba05db2
hex7ec0e00

132910592 has 40 divisors (see below), whose sum is σ = 271782456. Its totient is φ = 64899072.

The previous prime is 132910517. The next prime is 132910601. The reversal of 132910592 is 295019231.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18998 + ... + 25034.

Almost surely, 2132910592 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 132910592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135891228).

132910592 is an abundant number, since it is smaller than the sum of its proper divisors (138871864).

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

132910592 is an frugal number, since it uses more digits than its factorization.

132910592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6098 (or 6082 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 132910592 is about 11528.6856145876. The cubic root of 132910592 is about 510.3324655226.

The spelling of 132910592 in words is "one hundred thirty-two million, nine hundred ten thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 1376 2752 5504 6037 11008 12074 22016 24148 48296 96592 193184 259591 386368 519182 772736 1038364 1545472 2076728 3090944 4153456 8306912 16613824 33227648 66455296 132910592