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204540768 = 2533236737
BaseRepresentation
bin11000011000100…
…00101101100000
3112020212202012000
430030100231200
5404330301033
632144004000
75032365525
oct1414205540
9466782160
10204540768
11a5504563
1258600600
13334b7053
141d24514c
1512e54a13
hexc310b60

204540768 has 48 divisors (see below), whose sum is σ = 596579760. Its totient is φ = 68179968.

The previous prime is 204540761. The next prime is 204540781. The reversal of 204540768 is 867045402.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204540761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117505 + ... + 119232.

It is an arithmetic number, because the mean of its divisors is an integer number (12428745).

Almost surely, 2204540768 is an apocalyptic number.

It is an amenable number.

204540768 is an abundant number, since it is smaller than the sum of its proper divisors (392038992).

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

204540768 is a wasteful number, since it uses less digits than its factorization.

204540768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236756 (or 236742 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 204540768 is about 14301.7749947340. The cubic root of 204540768 is about 589.1962319477.

The spelling of 204540768 in words is "two hundred four million, five hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 236737 473474 710211 946948 1420422 1893896 2130633 2840844 3787792 4261266 5681688 6391899 7575584 8522532 11363376 12783798 17045064 22726752 25567596 34090128 51135192 68180256 102270384 204540768