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204550580 = 225131947881
BaseRepresentation
bin11000011000100…
…11000110110100
3112020220020122102
430030103012310
5404331104310
632144121232
75032436243
oct1414230664
9466806572
10204550580
11a5510973
1258606218
13334bb660
141d24895a
1512e578a5
hexc3131b4

204550580 has 96 divisors (see below), whose sum is σ = 497871360. Its totient is φ = 69949440.

The previous prime is 204550571. The next prime is 204550583. The reversal of 204550580 is 85055402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204550583) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231740 + ... + 232620.

It is an arithmetic number, because the mean of its divisors is an integer number (5186160).

Almost surely, 2204550580 is an apocalyptic number.

204550580 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 204550580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248935680).

204550580 is an abundant number, since it is smaller than the sum of its proper divisors (293320780).

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

204550580 is a wasteful number, since it uses less digits than its factorization.

204550580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The square root of 204550580 is about 14302.1180249640. The cubic root of 204550580 is about 589.2056532171.

It can be divided in two parts, 2045 and 50580, that added together give a palindrome (52625).

The spelling of 204550580 in words is "two hundred four million, five hundred fifty thousand, five hundred eighty".

Divisors: 1 2 4 5 10 13 19 20 26 38 47 52 65 76 94 95 130 188 190 235 247 260 380 470 494 611 881 893 940 988 1222 1235 1762 1786 2444 2470 3055 3524 3572 4405 4465 4940 6110 8810 8930 11453 11609 12220 16739 17620 17860 22906 23218 33478 41407 45812 46436 57265 58045 66956 82814 83695 114530 116090 165628 167390 207035 217607 229060 232180 334780 414070 435214 538291 786733 828140 870428 1076582 1088035 1573466 2153164 2176070 2691455 3146932 3933665 4352140 5382910 7867330 10227529 10765820 15734660 20455058 40910116 51137645 102275290 204550580