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204315936 = 253111631187
BaseRepresentation
bin11000010110110…
…01110100100000
3112020110022202220
430023121310200
5404301102221
632135111040
75030441166
oct1413316440
9466408686
10204315936
11a5370650
1258512480
1333438906
141d1c7236
1512e0d0c6
hexc2d9d20

204315936 has 96 divisors (see below), whose sum is σ = 589171968. Its totient is φ = 61482240.

The previous prime is 204315929. The next prime is 204315953. The reversal of 204315936 is 639513402.

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 (33).

It is a junction number, because it is equal to n+sod(n) for n = 204315897 and 204315906.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171535 + ... + 172721.

It is an arithmetic number, because the mean of its divisors is an integer number (6137208).

Almost surely, 2204315936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204315936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294585984).

204315936 is an abundant number, since it is smaller than the sum of its proper divisors (384856032).

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

204315936 is a wasteful number, since it uses less digits than its factorization.

204315936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 204315936 is about 14293.9125504531. The cubic root of 204315936 is about 588.9802705440.

The spelling of 204315936 in words is "two hundred four million, three hundred fifteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 163 176 264 326 352 489 528 652 978 1056 1187 1304 1793 1956 2374 2608 3561 3586 3912 4748 5216 5379 7122 7172 7824 9496 10758 13057 14244 14344 15648 18992 21516 26114 28488 28688 37984 39171 43032 52228 56976 57376 78342 86064 104456 113952 156684 172128 193481 208912 313368 386962 417824 580443 626736 773924 1160886 1253472 1547848 2128291 2321772 3095696 4256582 4643544 6191392 6384873 8513164 9287088 12769746 17026328 18574176 25539492 34052656 51078984 68105312 102157968 204315936