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253660264 = 2311131713043
BaseRepresentation
bin11110001111010…
…00110001101000
3122200022021110121
433013220301220
51004414112024
641100453024
76200035204
oct1707506150
9580267417
10253660264
11120203790
1270b4a174
1340724740
142598db04
15174088e4
hexf1e8c68

253660264 has 64 divisors (see below), whose sum is σ = 591675840. Its totient is φ = 100162560.

The previous prime is 253660249. The next prime is 253660273. The reversal of 253660264 is 462066352.

253660264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 12927 + ... + 25969.

It is an arithmetic number, because the mean of its divisors is an integer number (9244935).

Almost surely, 2253660264 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 253660264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295837920).

253660264 is an abundant number, since it is smaller than the sum of its proper divisors (338015576).

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

253660264 is a wasteful number, since it uses less digits than its factorization.

253660264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13090 (or 13086 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 253660264 is about 15926.7154178129. The cubic root of 253660264 is about 633.0200706242.

The spelling of 253660264 in words is "two hundred fifty-three million, six hundred sixty thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 13 17 22 26 34 44 52 68 88 104 136 143 187 221 286 374 442 572 748 884 1144 1496 1768 2431 4862 9724 13043 19448 26086 52172 104344 143473 169559 221731 286946 339118 443462 573892 678236 886924 1147784 1356472 1773848 1865149 2439041 2882503 3730298 4878082 5765006 7460596 9756164 11530012 14921192 19512328 23060024 31707533 63415066 126830132 253660264