Search a number
-
+
268160604 = 223194992357
BaseRepresentation
bin11111111101111…
…00111001011100
3200200120222012020
433332330321130
51022122114404
642335340140
76434220225
oct1776747134
9620528166
10268160604
11128408038
1275981650
134373081a
142788624c
151881eed9
hexffbce5c

268160604 has 48 divisors (see below), whose sum is σ = 660240000. Its totient is φ = 84476736.

The previous prime is 268160597. The next prime is 268160617. The reversal of 268160604 is 406061862.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112594 + ... + 114950.

It is an arithmetic number, because the mean of its divisors is an integer number (13755000).

Almost surely, 2268160604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268160604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330120000).

268160604 is an abundant number, since it is smaller than the sum of its proper divisors (392079396).

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

268160604 is a wasteful number, since it uses less digits than its factorization.

268160604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 268160604 is about 16375.6100344384. The cubic root of 268160604 is about 644.8593359503.

The spelling of 268160604 in words is "two hundred sixty-eight million, one hundred sixty thousand, six hundred four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 499 998 1497 1996 2357 2994 4714 5988 7071 9428 9481 14142 18962 28284 28443 37924 44783 56886 89566 113772 134349 179132 268698 537396 1176143 2352286 3528429 4704572 7056858 14113716 22346717 44693434 67040151 89386868 134080302 268160604