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264440660 = 225112234751
BaseRepresentation
bin11111100001100…
…00101101010100
3200102120222101112
433300300231110
51020144100120
642123514152
76360465011
oct1760605524
9612528345
10264440660
111262a7200
1274688958
1342a2a583
1427198708
1518337bc5
hexfc30b54

264440660 has 72 divisors (see below), whose sum is σ = 637072128. Its totient is φ = 91960000.

The previous prime is 264440639. The next prime is 264440663. The reversal of 264440660 is 66044462.

264440660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2644406602 = 139857725322471200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264440663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53285 + ... + 58035.

It is an arithmetic number, because the mean of its divisors is an integer number (8848224).

Almost surely, 2264440660 is an apocalyptic number.

264440660 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 264440660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318536064).

264440660 is an abundant number, since it is smaller than the sum of its proper divisors (372631468).

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

264440660 is a wasteful number, since it uses less digits than its factorization.

264440660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4805 (or 4792 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 264440660 is about 16261.6315294622. The cubic root of 264440660 is about 641.8635948851.

The spelling of 264440660 in words is "two hundred sixty-four million, four hundred forty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 121 220 230 242 253 460 484 506 605 1012 1210 1265 2420 2530 2783 4751 5060 5566 9502 11132 13915 19004 23755 27830 47510 52261 55660 95020 104522 109273 209044 218546 261305 437092 522610 546365 574871 1045220 1092730 1149742 1202003 2185460 2299484 2404006 2874355 4808012 5748710 6010015 11497420 12020030 13222033 24040060 26444066 52888132 66110165 132220330 264440660