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268275168 = 25327133073
BaseRepresentation
bin11111111110110…
…00110111100000
3200200210210100100
433333120313200
51022134301133
642342022400
76435205230
oct1777306740
9620723310
10268275168
11128486117
1275a17a00
1343770a05
14278b5cc0
1518843e13
hexffd8de0

268275168 has 72 divisors (see below), whose sum is σ = 871900848. Its totient is φ = 76649472.

The previous prime is 268275167. The next prime is 268275179. The reversal of 268275168 is 861572862.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268275167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64521 + ... + 68552.

It is an arithmetic number, because the mean of its divisors is an integer number (12109734).

Almost surely, 2268275168 is an apocalyptic number.

268275168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

268275168 is an abundant number, since it is smaller than the sum of its proper divisors (603625680).

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

268275168 is a wasteful number, since it uses less digits than its factorization.

268275168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133096 (or 133085 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 268275168 is about 16379.1076680019. The cubic root of 268275168 is about 644.9511554863.

The spelling of 268275168 in words is "two hundred sixty-eight million, two hundred seventy-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 133073 266146 399219 532292 798438 931511 1064584 1197657 1596876 1863022 2129168 2395314 2794533 3193752 3726044 4258336 4790628 5589066 6387504 7452088 8383599 9581256 11178132 12775008 14904176 16767198 19162512 22356264 29808352 33534396 38325024 44712528 67068792 89425056 134137584 268275168