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268015360 = 285415107
BaseRepresentation
bin11111111100110…
…01011100000000
3200200022120221211
433332121130000
51022102442420
642332255504
76433043614
oct1776313400
9620276854
10268015360
111283189a8
1275911594
13436ac692
1427849344
15187e1e5a
hexff99700

268015360 has 72 divisors (see below), whose sum is σ = 657767376. Its totient is φ = 104570880.

The previous prime is 268015351. The next prime is 268015381. The reversal of 268015360 is 63510862.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49927 + ... + 55033.

It is an arithmetic number, because the mean of its divisors is an integer number (9135658).

Almost surely, 2268015360 is an apocalyptic number.

268015360 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 268015360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328883688).

268015360 is an abundant number, since it is smaller than the sum of its proper divisors (389752016).

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

268015360 is an equidigital number, since it uses as much as digits as its factorization.

268015360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5169 (or 5155 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 268015360 is about 16371.1746676895. The cubic root of 268015360 is about 644.7428897322.

The spelling of 268015360 in words is "two hundred sixty-eight million, fifteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 256 320 328 410 640 656 820 1280 1312 1640 2624 3280 5107 5248 6560 10214 10496 13120 20428 25535 26240 40856 51070 52480 81712 102140 163424 204280 209387 326848 408560 418774 653696 817120 837548 1046935 1307392 1634240 1675096 2093870 3268480 3350192 4187740 6536960 6700384 8375480 13400768 16750960 26801536 33501920 53603072 67003840 134007680 268015360