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204024260 = 225112361661
BaseRepresentation
bin11000010100100…
…10100111000100
3112012220111200002
430022102213010
5404212234020
632124540432
75025114626
oct1412224704
9465814602
10204024260
11a51914a0
12583b1718
1333365c1b
141d14cc16
1512da1975
hexc2929c4

204024260 has 96 divisors (see below), whose sum is σ = 496468224. Its totient is φ = 69696000.

The previous prime is 204024229. The next prime is 204024281. The reversal of 204024260 is 62420402.

204024260 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308330 + ... + 308990.

It is an arithmetic number, because the mean of its divisors is an integer number (5171544).

Almost surely, 2204024260 is an apocalyptic number.

204024260 is a gapful number since it is divisible by the number (20) 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 204024260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248234112).

204024260 is an abundant number, since it is smaller than the sum of its proper divisors (292443964).

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

204024260 is a wasteful number, since it uses less digits than its factorization.

204024260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 204024260 is about 14283.7061017090. The cubic root of 204024260 is about 588.6998662089.

Adding to 204024260 its reverse (62420402), we get a palindrome (266444662).

The spelling of 204024260 in words is "two hundred four million, twenty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 61 92 110 115 122 220 230 244 253 305 460 506 610 661 671 1012 1220 1265 1322 1342 1403 2530 2644 2684 2806 3305 3355 5060 5612 6610 6710 7015 7271 13220 13420 14030 14542 15203 15433 28060 29084 30406 30866 36355 40321 60812 61732 72710 76015 77165 80642 145420 152030 154330 161284 167233 201605 304060 308660 334466 403210 443531 668932 806420 836165 887062 927383 1672330 1774124 1854766 2217655 3344660 3709532 4435310 4636915 8870620 9273830 10201213 18547660 20402426 40804852 51006065 102012130 204024260