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268816740 = 223510494271
BaseRepresentation
bin10000000001011…
…101000101100100
3200201211022020120
4100001131011210
51022304113430
642401401540
76442622163
oct2001350544
9621738216
10268816740
11128815aa5
12760392b0
134390037a
14279b73da
15188ee610
hex1005d164

268816740 has 48 divisors (see below), whose sum is σ = 753580800. Its totient is φ = 71599360.

The previous prime is 268816739. The next prime is 268816753. The reversal of 268816740 is 47618862.

It is a junction number, because it is equal to n+sod(n) for n = 268816692 and 268816701.

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, 60805 + ... + 65075.

It is an arithmetic number, because the mean of its divisors is an integer number (15699600).

Almost surely, 2268816740 is an apocalyptic number.

268816740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268816740 is an abundant number, since it is smaller than the sum of its proper divisors (484764060).

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

268816740 is a wasteful number, since it uses less digits than its factorization.

268816740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5332 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 268816740 is about 16395.6317353129. The cubic root of 268816740 is about 645.3848553517.

The spelling of 268816740 in words is "two hundred sixty-eight million, eight hundred sixteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1049 2098 3147 4196 4271 5245 6294 8542 10490 12588 12813 15735 17084 20980 21355 25626 31470 42710 51252 62940 64065 85420 128130 256260 4480279 8960558 13440837 17921116 22401395 26881674 44802790 53763348 67204185 89605580 134408370 268816740