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268806460 = 225135319507
BaseRepresentation
bin10000000001011…
…010100100111100
3200201210210010211
4100001122210330
51022303301320
642401242204
76442550206
oct2001324474
9621723124
10268806460
111288092aa
1276033364
13438c87a0
14279b3776
15188eb55a
hex1005a93c

268806460 has 48 divisors (see below), whose sum is σ = 619418016. Its totient is φ = 97373952.

The previous prime is 268806457. The next prime is 268806491. The reversal of 268806460 is 64608862.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4027 + ... + 23533.

It is an arithmetic number, because the mean of its divisors is an integer number (12904542).

Almost surely, 2268806460 is an apocalyptic number.

268806460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268806460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309709008).

268806460 is an abundant number, since it is smaller than the sum of its proper divisors (350611556).

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

268806460 is a wasteful number, since it uses less digits than its factorization.

268806460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19582 (or 19580 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 268806460 is about 16395.3182341789. The cubic root of 268806460 is about 645.3766283828.

The spelling of 268806460 in words is "two hundred sixty-eight million, eight hundred six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 212 260 265 530 689 1060 1378 2756 3445 6890 13780 19507 39014 78028 97535 195070 253591 390140 507182 1014364 1033871 1267955 2067742 2535910 4135484 5071820 5169355 10338710 13440323 20677420 26880646 53761292 67201615 134403230 268806460