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268996460 = 22529463787
BaseRepresentation
bin10000000010001…
…000111101101100
3200202011102202212
4100002020331230
51022330341320
642405305552
76444301145
oct2002107554
9622142685
10268996460
11128929027
12761052b8
1343964105
1427a22acc
15189379c5
hex10088f6c

268996460 has 24 divisors (see below), whose sum is σ = 584372880. Its totient is φ = 103888064.

The previous prime is 268996451. The next prime is 268996499. The reversal of 268996460 is 64699862.

It is a junction number, because it is equal to n+sod(n) for n = 268996399 and 268996408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231314 + ... + 232473.

It is an arithmetic number, because the mean of its divisors is an integer number (24348870).

Almost surely, 2268996460 is an apocalyptic number.

268996460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268996460 is an abundant number, since it is smaller than the sum of its proper divisors (315376420).

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

268996460 is a wasteful number, since it uses less digits than its factorization.

268996460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463825 (or 463823 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 50.

The square root of 268996460 is about 16401.1115476970. Note that the first 3 decimals coincide. The cubic root of 268996460 is about 645.5286493820.

The spelling of 268996460 in words is "two hundred sixty-eight million, nine hundred ninety-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 463787 927574 1855148 2318935 4637870 9275740 13449823 26899646 53799292 67249115 134498230 268996460