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132941824 = 211139467
BaseRepresentation
bin1111110110010…
…00100000000000
3100021011010220021
413323020200000
5233013114244
621105223224
73202662331
oct773104000
9307133807
10132941824
1169051184
1238631b14
1321708802
1413928288
15ba10284
hex7ec8800

132941824 has 48 divisors (see below), whose sum is σ = 268304400. Its totient is φ = 65851392.

The previous prime is 132941821. The next prime is 132941849. The reversal of 132941824 is 428149231.

It is a self number, because there is not a number n which added to its sum of digits gives 132941824.

It is not an unprimeable number, because it can be changed into a prime (132941821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 284439 + ... + 284905.

It is an arithmetic number, because the mean of its divisors is an integer number (5589675).

Almost surely, 2132941824 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 132941824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134152200).

132941824 is an abundant number, since it is smaller than the sum of its proper divisors (135362576).

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

132941824 is an equidigital number, since it uses as much as digits as its factorization.

132941824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 608 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 132941824 is about 11530.0400693146. The cubic root of 132941824 is about 510.3724358892.

The spelling of 132941824 in words is "one hundred thirty-two million, nine hundred forty-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 139 256 278 467 512 556 934 1024 1112 1868 2048 2224 3736 4448 7472 8896 14944 17792 29888 35584 59776 64913 71168 119552 129826 142336 239104 259652 284672 478208 519304 956416 1038608 2077216 4154432 8308864 16617728 33235456 66470912 132941824