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264712640 = 265827227
BaseRepresentation
bin11111100011100…
…11000111000000
3200110002210110212
433301303013000
51020231301030
642133413252
76363006653
oct1761630700
9613083425
10264712640
11126472585
127479a228
1342ac42ca
142722989a
151838d595
hexfc731c0

264712640 has 28 divisors (see below), whose sum is σ = 630347736. Its totient is φ = 105884928.

The previous prime is 264712631. The next prime is 264712691. The reversal of 264712640 is 46217462.

264712640 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 (32).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 264712597 and 264712606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 413294 + ... + 413933.

Almost surely, 2264712640 is an apocalyptic number.

264712640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264712640 is an abundant number, since it is smaller than the sum of its proper divisors (365635096).

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

264712640 is an equidigital number, since it uses as much as digits as its factorization.

264712640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827244 (or 827234 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 264712640 is about 16269.9920098321. The cubic root of 264712640 is about 642.0835739714.

The spelling of 264712640 in words is "two hundred sixty-four million, seven hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 827227 1654454 3308908 4136135 6617816 8272270 13235632 16544540 26471264 33089080 52942528 66178160 132356320 264712640