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268956460 = 22519967577
BaseRepresentation
bin10000000001111…
…111001100101100
3200202002101220101
4100001333030230
51022323101320
642404400444
76444043423
oct2001771454
9622071811
10268956460
11128900a73
12760a6124
134394bb46
1427a122ba
151892ac0a
hex1007f32c

268956460 has 24 divisors (see below), whose sum is σ = 567655200. Its totient is φ = 107040384.

The previous prime is 268956421. The next prime is 268956461. The reversal of 268956460 is 64659862.

It is a self number, because there is not a number n which added to its sum of digits gives 268956460.

It is not an unprimeable number, because it can be changed into a prime (268956461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29809 + ... + 37768.

It is an arithmetic number, because the mean of its divisors is an integer number (23652300).

Almost surely, 2268956460 is an apocalyptic number.

268956460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268956460 is an abundant number, since it is smaller than the sum of its proper divisors (298698740).

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

268956460 is a wasteful number, since it uses less digits than its factorization.

268956460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67785 (or 67783 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 268956460 is about 16399.8920728156. The cubic root of 268956460 is about 645.4966509114.

The spelling of 268956460 in words is "two hundred sixty-eight million, nine hundred fifty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 199 398 796 995 1990 3980 67577 135154 270308 337885 675770 1351540 13447823 26895646 53791292 67239115 134478230 268956460