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204661540 = 225193171699
BaseRepresentation
bin11000011001011…
…10001100100100
3112021002212212001
430030232030210
5404343132130
632150335044
75033410606
oct1414561444
9467085761
10204661540
11a5587276
125865a484
133352a005
141d277176
1512e7a6ca
hexc32e324

204661540 has 48 divisors (see below), whose sum is σ = 454104000. Its totient is φ = 77265792.

The previous prime is 204661537. The next prime is 204661543. The reversal of 204661540 is 45166402.

It is an interprime number because it is at equal distance from previous prime (204661537) and next prime (204661543).

It is a junction number, because it is equal to n+sod(n) for n = 204661499 and 204661508.

It is not an unprimeable number, because it can be changed into a prime (204661543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119611 + ... + 121309.

It is an arithmetic number, because the mean of its divisors is an integer number (9460500).

Almost surely, 2204661540 is an apocalyptic number.

204661540 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 204661540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227052000).

204661540 is an abundant number, since it is smaller than the sum of its proper divisors (249442460).

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

204661540 is a wasteful number, since it uses less digits than its factorization.

204661540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 204661540 is about 14305.9966447640. The cubic root of 204661540 is about 589.3121736372.

The spelling of 204661540 in words is "two hundred four million, six hundred sixty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 317 380 634 1268 1585 1699 3170 3398 6023 6340 6796 8495 12046 16990 24092 30115 32281 33980 60230 64562 120460 129124 161405 322810 538583 645620 1077166 2154332 2692915 5385830 10233077 10771660 20466154 40932308 51165385 102330770 204661540