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268261100 = 22523772503
BaseRepresentation
bin11111111110101…
…01011011101100
3200200210002001022
433333111123230
51022133323400
642341433312
76435116222
oct1777253354
9620702038
10268261100
11128476598
1275a0b838
13437674a3
14278b0b12
151883eb85
hexffd56ec

268261100 has 36 divisors (see below), whose sum is σ = 597867984. Its totient is φ = 104402880.

The previous prime is 268261093. The next prime is 268261129. The reversal of 268261100 is 1162862.

It is a self number, because there is not a number n which added to its sum of digits gives 268261100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32552 + ... + 39951.

It is an arithmetic number, because the mean of its divisors is an integer number (16607444).

Almost surely, 2268261100 is an apocalyptic number.

268261100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268261100 is an abundant number, since it is smaller than the sum of its proper divisors (329606884).

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

268261100 is a wasteful number, since it uses less digits than its factorization.

268261100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72554 (or 72547 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 268261100 is about 16378.6782128473. The cubic root of 268261100 is about 644.9398818234.

The spelling of 268261100 in words is "two hundred sixty-eight million, two hundred sixty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 72503 145006 290012 362515 725030 1450060 1812575 2682611 3625150 5365222 7250300 10730444 13413055 26826110 53652220 67065275 134130550 268261100