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264245040 = 24325367007
BaseRepresentation
bin11111100000000…
…00111100110000
3200102020001001100
433300000330300
51020121320130
642115404400
76356021463
oct1760007460
9612201040
10264245040
11126183234
12745b3700
134298c517
14271472da
15182e9c60
hexfc00f30

264245040 has 60 divisors (see below), whose sum is σ = 887425344. Its totient is φ = 70465152.

The previous prime is 264245039. The next prime is 264245053. The reversal of 264245040 is 40542462.

It is a tau number, because it is divible by the number of its divisors (60).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 264244995 and 264245013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182784 + ... + 184223.

Almost surely, 2264245040 is an apocalyptic number.

264245040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264245040 is an abundant number, since it is smaller than the sum of its proper divisors (623180304).

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

264245040 is a wasteful number, since it uses less digits than its factorization.

264245040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367026 (or 367017 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 264245040 is about 16255.6156450625. The cubic root of 264245040 is about 641.7052829592.

The spelling of 264245040 in words is "two hundred sixty-four million, two hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 367007 734014 1101021 1468028 1835035 2202042 2936056 3303063 3670070 4404084 5505105 5872112 6606126 7340140 8808168 11010210 13212252 14680280 16515315 17616336 22020420 26424504 29360560 33030630 44040840 52849008 66061260 88081680 132122520 264245040