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268635720 = 23352238631
BaseRepresentation
bin10000000000110…
…000111001001000
3200201111002221010
4100000300321020
51022232320340
642353443520
76441236343
oct2000607110
9621432833
10268635720
11128701aa1
1275b705a0
1343868b62
142796b45a
15188b5b80
hex10030e48

268635720 has 32 divisors (see below), whose sum is σ = 805907520. Its totient is φ = 71636160.

The previous prime is 268635707. The next prime is 268635721. The reversal of 268635720 is 27536862.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (268635721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1119196 + ... + 1119435.

It is an arithmetic number, because the mean of its divisors is an integer number (25184610).

Almost surely, 2268635720 is an apocalyptic number.

268635720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268635720 is an abundant number, since it is smaller than the sum of its proper divisors (537271800).

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

268635720 is a wasteful number, since it uses less digits than its factorization.

268635720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238645 (or 2238641 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 268635720 is about 16390.1104328189. The cubic root of 268635720 is about 645.2399563894.

The spelling of 268635720 in words is "two hundred sixty-eight million, six hundred thirty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2238631 4477262 6715893 8954524 11193155 13431786 17909048 22386310 26863572 33579465 44772620 53727144 67158930 89545240 134317860 268635720