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204860640 = 25352914717
BaseRepresentation
bin11000011010111…
…10110011100000
3112021110222222010
430031132303200
5404421020030
632154512520
75035200225
oct1415366340
9467428863
10204860640
11a5702916
1258735740
133359981a
141d2c994c
1512eb96b0
hexc35ece0

204860640 has 96 divisors (see below), whose sum is σ = 667608480. Its totient is φ = 52742144.

The previous prime is 204860629. The next prime is 204860647. The reversal of 204860640 is 46068402.

204860640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 204860598 and 204860607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204860647) 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, 6562 + ... + 21278.

It is an arithmetic number, because the mean of its divisors is an integer number (6954255).

Almost surely, 2204860640 is an apocalyptic number.

204860640 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 204860640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333804240).

204860640 is an abundant number, since it is smaller than the sum of its proper divisors (462747840).

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

204860640 is a wasteful number, since it uses less digits than its factorization.

204860640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14764 (or 14756 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 204860640 is about 14312.9535735990. The cubic root of 204860640 is about 589.5032110389.

The spelling of 204860640 in words is "two hundred four million, eight hundred sixty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4640 6960 13920 14717 29434 44151 58868 73585 88302 117736 147170 176604 220755 235472 294340 353208 426793 441510 470944 588680 706416 853586 883020 1177360 1280379 1412832 1707172 1766040 2133965 2354720 2560758 3414344 3532080 4267930 5121516 6401895 6828688 7064160 8535860 10243032 12803790 13657376 17071720 20486064 25607580 34143440 40972128 51215160 68286880 102430320 204860640