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268580956 = 22721370311
BaseRepresentation
bin10000000000100…
…011100001011100
3200201101022210211
4100000203201130
51022224042311
642352342204
76440620600
oct2000434134
9621338724
10268580956
11128674936
1275b44964
1343849c57
1427955500
15188a4821
hex1002385c

268580956 has 18 divisors (see below), whose sum is σ = 546754488. Its totient is φ = 115106040.

The previous prime is 268580951. The next prime is 268580971. The reversal of 268580956 is 659085862.

268580956 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268580951) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 684960 + ... + 685351.

Almost surely, 2268580956 is an apocalyptic number.

It is an amenable number.

268580956 is an abundant number, since it is smaller than the sum of its proper divisors (278173532).

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

268580956 is a wasteful number, since it uses less digits than its factorization.

268580956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370329 (or 1370320 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

The square root of 268580956 is about 16388.4397060855. The cubic root of 268580956 is about 645.1961072661.

The spelling of 268580956 in words is "two hundred sixty-eight million, five hundred eighty thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 28 49 98 196 1370311 2740622 5481244 9592177 19184354 38368708 67145239 134290478 268580956