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268106688 = 2632465463
BaseRepresentation
bin11111111101011…
…11101111000000
3200200111020020100
433332233233000
51022113403223
642334242400
76433604103
oct1776575700
9620436210
10268106688
11128380583
1275956400
1343712115
142787073a
151880e043
hexffafbc0

268106688 has 42 divisors (see below), whose sum is σ = 768481064. Its totient is φ = 89368704.

The previous prime is 268106681. The next prime is 268106743. The reversal of 268106688 is 886601862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268106681) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 232156 + ... + 233307.

Almost surely, 2268106688 is an apocalyptic number.

It is an amenable number.

268106688 is an abundant number, since it is smaller than the sum of its proper divisors (500374376).

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

268106688 is a wasteful number, since it uses less digits than its factorization.

268106688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465481 (or 465468 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 268106688 is about 16373.9637229353. The cubic root of 268106688 is about 644.8161148782.

The spelling of 268106688 in words is "two hundred sixty-eight million, one hundred six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 465463 930926 1396389 1861852 2792778 3723704 4189167 5585556 7447408 8378334 11171112 14894816 16756668 22342224 29789632 33513336 44684448 67026672 89368896 134053344 268106688