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204130432 = 27111131283
BaseRepresentation
bin11000010101011…
…00100010000000
3112020002220022101
430022230202000
5404224133212
632131120144
75026036312
oct1412544200
9466086271
10204130432
11a5254240
1258443054
13333a234c
141d1797b2
1512dc3157
hexc2ac880

204130432 has 64 divisors (see below), whose sum is σ = 447910560. Its totient is φ = 91893760.

The previous prime is 204130403. The next prime is 204130439. The reversal of 204130432 is 234031402.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (204130439) 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, 158463 + ... + 159745.

Almost surely, 2204130432 is an apocalyptic number.

204130432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223955280).

204130432 is an abundant number, since it is smaller than the sum of its proper divisors (243780128).

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

204130432 is a wasteful number, since it uses less digits than its factorization.

204130432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 204130432 is about 14287.4221607678. The cubic root of 204130432 is about 588.8019661639.

Adding to 204130432 its reverse (234031402), we get a palindrome (438161834).

The spelling of 204130432 in words is "two hundred four million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 113 128 176 226 352 452 704 904 1243 1283 1408 1808 2486 2566 3616 4972 5132 7232 9944 10264 14113 14464 19888 20528 28226 39776 41056 56452 79552 82112 112904 144979 159104 164224 225808 289958 451616 579916 903232 1159832 1594769 1806464 2319664 3189538 4639328 6379076 9278656 12758152 18557312 25516304 51032608 102065216 204130432