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132210304 = 272935617
BaseRepresentation
bin1111110000101…
…01111010000000
3100012202222102221
413320111322000
5232321212204
621041420424
73163524532
oct770257200
9305688387
10132210304
11686a1616
123833a714
1321510865
14137b7852
15b918654
hex7e15e80

132210304 has 32 divisors (see below), whose sum is σ = 272477700. Its totient is φ = 63823872.

The previous prime is 132210293. The next prime is 132210329. The reversal of 132210304 is 403012231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 131790400 + 419904 = 11480^2 + 648^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14097 + ... + 21520.

Almost surely, 2132210304 is an apocalyptic number.

It is an amenable number.

132210304 is an abundant number, since it is smaller than the sum of its proper divisors (140267396).

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

132210304 is an equidigital number, since it uses as much as digits as its factorization.

132210304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35660 (or 35648 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 132210304 is about 11498.2739574251. The cubic root of 132210304 is about 509.4345957546.

Adding to 132210304 its reverse (403012231), we get a palindrome (535222535).

The spelling of 132210304 in words is "one hundred thirty-two million, two hundred ten thousand, three hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 35617 71234 142468 284936 569872 1032893 1139744 2065786 2279488 4131572 4558976 8263144 16526288 33052576 66105152 132210304