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268000150 = 25211716863
BaseRepresentation
bin11111111100101…
…01101110010110
3200200021211002111
433332111232112
51022102001100
642332101234
76432651355
oct1776255626
9620254074
10268000150
11128308530
127590481a
13436a5792
142784399c
15187dc6ba
hexff95b96

268000150 has 48 divisors (see below), whose sum is σ = 551536128. Its totient is φ = 96068000.

The previous prime is 268000147. The next prime is 268000211. The reversal of 268000150 is 51000862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35619 + ... + 42481.

It is an arithmetic number, because the mean of its divisors is an integer number (11490336).

Almost surely, 2268000150 is an apocalyptic number.

268000150 is an abundant number, since it is smaller than the sum of its proper divisors (283535978).

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

268000150 is a wasteful number, since it uses less digits than its factorization.

268000150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6957 (or 6952 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 268000150 is about 16370.7101250984. The cubic root of 268000150 is about 644.7306930122.

The spelling of 268000150 in words is "two hundred sixty-eight million, one hundred fifty", and thus it is an aban number.

Divisors: 1 2 5 10 11 22 25 50 55 71 110 142 275 355 550 710 781 1562 1775 3550 3905 6863 7810 13726 19525 34315 39050 68630 75493 150986 171575 343150 377465 487273 754930 974546 1887325 2436365 3774650 4872730 5360003 10720006 12181825 24363650 26800015 53600030 134000075 268000150