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204132032 = 26131072293
BaseRepresentation
bin11000010101011…
…00111011000000
3112020002222111122
430022230323000
5404224211112
632131131412
75026044056
oct1412547300
9466088448
10204132032
11a5255465
1258443b68
13333a2cb0
141d17a1d6
1512dc3872
hexc2acec0

204132032 has 56 divisors (see below), whose sum is σ = 440503056. Its totient is φ = 93293568.

The previous prime is 204132023. The next prime is 204132037. The reversal of 204132032 is 230231402.

It is a self number, because there is not a number n which added to its sum of digits gives 204132032.

It is not an unprimeable number, because it can be changed into a prime (204132037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87878 + ... + 90170.

It is an arithmetic number, because the mean of its divisors is an integer number (7866126).

Almost surely, 2204132032 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 204132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220251528).

204132032 is an abundant number, since it is smaller than the sum of its proper divisors (236371024).

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

204132032 is a wasteful number, since it uses less digits than its factorization.

204132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 204132032 is about 14287.4781539641. The cubic root of 204132032 is about 588.8035045278.

Adding to 204132032 its reverse (230231402), we get a palindrome (434363434).

The spelling of 204132032 in words is "two hundred four million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 107 208 214 416 428 832 856 1391 1712 2293 2782 3424 4586 5564 6848 9172 11128 18344 22256 29809 36688 44512 59618 73376 89024 119236 146752 238472 245351 476944 490702 953888 981404 1907776 1962808 3189563 3925616 6379126 7851232 12758252 15702464 25516504 51033008 102066016 204132032