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204232520 = 235191032609
BaseRepresentation
bin11000010110001…
…01011101001000
3112020022002100102
430023011131020
5404240420040
632133224532
75026643042
oct1413053510
9466262312
10204232520
11a5313a08
1258492148
133340995b
141d1a4a92
1512de3515
hexc2c5748

204232520 has 64 divisors (see below), whose sum is σ = 488592000. Its totient is φ = 76612608.

The previous prime is 204232517. The next prime is 204232547. The reversal of 204232520 is 25232402.

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

It is a junction number, because it is equal to n+sod(n) for n = 204232492 and 204232501.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76976 + ... + 79584.

It is an arithmetic number, because the mean of its divisors is an integer number (7634250).

Almost surely, 2204232520 is an apocalyptic number.

204232520 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 204232520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244296000).

204232520 is an abundant number, since it is smaller than the sum of its proper divisors (284359480).

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

204232520 is a wasteful number, since it uses less digits than its factorization.

204232520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 204232520 is about 14290.9943670831. The cubic root of 204232520 is about 588.9001053729.

Adding to 204232520 its reverse (25232402), we get a palindrome (229464922).

The spelling of 204232520 in words is "two hundred four million, two hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 103 152 190 206 380 412 515 760 824 1030 1957 2060 2609 3914 4120 5218 7828 9785 10436 13045 15656 19570 20872 26090 39140 49571 52180 78280 99142 104360 198284 247855 268727 396568 495710 537454 991420 1074908 1343635 1982840 2149816 2687270 5105813 5374540 10211626 10749080 20423252 25529065 40846504 51058130 102116260 204232520