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264254540 = 225113138747
BaseRepresentation
bin11111100000000…
…11010001001100
3200102020112002012
433300003101030
51020122121130
642115520352
76356061254
oct1760032114
9612215065
10264254540
1112618a390
12745b90b8
1342993944
142714a964
15182ec995
hexfc0344c

264254540 has 48 divisors (see below), whose sum is σ = 624927744. Its totient is φ = 92990400.

The previous prime is 264254533. The next prime is 264254561. The reversal of 264254540 is 45452462.

It is a super-2 number, since 2×2642545402 = 139660923821223200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 264254497 and 264254506.

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, 12554 + ... + 26193.

It is an arithmetic number, because the mean of its divisors is an integer number (13019328).

Almost surely, 2264254540 is an apocalyptic number.

264254540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264254540 is an abundant number, since it is smaller than the sum of its proper divisors (360673204).

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

264254540 is a wasteful number, since it uses less digits than its factorization.

264254540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38798 (or 38796 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The square root of 264254540 is about 16255.9078491483. The cubic root of 264254540 is about 641.7129729517.

The spelling of 264254540 in words is "two hundred sixty-four million, two hundred fifty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 6820 38747 77494 154988 193735 387470 426217 774940 852434 1201157 1704868 2131085 2402314 4262170 4804628 6005785 8524340 12011570 13212727 24023140 26425454 52850908 66063635 132127270 264254540