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268111272 = 233111378121
BaseRepresentation
bin11111111101100…
…00110110101000
3200200111110112010
433332300312220
51022114030042
642334315520
76433623342
oct1776606650
9620443463
10268111272
11128383a70
1275958ba0
1343714230
1427872292
151881059c
hexffb0da8

268111272 has 64 divisors (see below), whose sum is σ = 787469760. Its totient is φ = 74995200.

The previous prime is 268111237. The next prime is 268111279. The reversal of 268111272 is 272111862.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (268111279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35629 + ... + 42492.

It is an arithmetic number, because the mean of its divisors is an integer number (12304215).

Almost surely, 2268111272 is an apocalyptic number.

268111272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

268111272 is an abundant number, since it is smaller than the sum of its proper divisors (519358488).

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

268111272 is a wasteful number, since it uses less digits than its factorization.

268111272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78154 (or 78150 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 268111272 is about 16374.1037006610. The cubic root of 268111272 is about 644.8197898086.

The spelling of 268111272 in words is "two hundred sixty-eight million, one hundred eleven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 78121 156242 234363 312484 468726 624968 859331 937452 1015573 1718662 1874904 2031146 2577993 3046719 3437324 4062292 5155986 6093438 6874648 8124584 10311972 11171303 12186876 20623944 22342606 24373752 33513909 44685212 67027818 89370424 134055636 268111272