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132828736 = 2610120549
BaseRepresentation
bin1111110101011…
…00111001000000
3100020221101202211
413322230321000
5233001004421
621102551504
73202011535
oct772547100
9306841684
10132828736
1168a84217
1238598594
13216991b1
14138d8d8c
15b9db9e1
hex7eace40

132828736 has 28 divisors (see below), whose sum is σ = 266204700. Its totient is φ = 65753600.

The previous prime is 132828733. The next prime is 132828739. The reversal of 132828736 is 637828231.

132828736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132828733) and next prime (132828739).

It can be written as a sum of positive squares in 2 ways, for example, as 129049600 + 3779136 = 11360^2 + 1944^2 .

It is not an unprimeable number, because it can be changed into a prime (132828733) 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, 3811 + ... + 16738.

Almost surely, 2132828736 is an apocalyptic number.

132828736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132828736 is an abundant number, since it is smaller than the sum of its proper divisors (133375964).

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

132828736 is a wasteful number, since it uses less digits than its factorization.

132828736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20662 (or 20652 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 132828736 is about 11525.1349666718. The cubic root of 132828736 is about 510.2276774030.

The spelling of 132828736 in words is "one hundred thirty-two million, eight hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 101 202 404 808 1616 3232 6464 20549 41098 82196 164392 328784 657568 1315136 2075449 4150898 8301796 16603592 33207184 66414368 132828736