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204265040 = 2457364759
BaseRepresentation
bin11000010110011…
…01011001010000
3112020100201221212
430023031121100
5404242440130
632134035252
75030136620
oct1413153120
9466321855
10204265040
11a5336391
12584a8b28
133341b6b5
141d1b2880
1512dece95
hexc2cd650

204265040 has 40 divisors (see below), whose sum is σ = 542762880. Its totient is φ = 70033536.

The previous prime is 204265037. The next prime is 204265043. The reversal of 204265040 is 40562402.

It is an interprime number because it is at equal distance from previous prime (204265037) and next prime (204265043).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 204264997 and 204265015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204265043) 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, 181820 + ... + 182939.

It is an arithmetic number, because the mean of its divisors is an integer number (13569072).

Almost surely, 2204265040 is an apocalyptic number.

204265040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204265040 is an abundant number, since it is smaller than the sum of its proper divisors (338497840).

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

204265040 is a wasteful number, since it uses less digits than its factorization.

204265040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364779 (or 364773 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 204265040 is about 14292.1321012647. The cubic root of 204265040 is about 588.9313606223.

The spelling of 204265040 in words is "two hundred four million, two hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 364759 729518 1459036 1823795 2553313 2918072 3647590 5106626 5836144 7295180 10213252 12766565 14590360 20426504 25533130 29180720 40853008 51066260 102132520 204265040