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2560404 = 22371117163
BaseRepresentation
bin1001110001000110010100
311211002012210
421301012110
51123413104
6130513420
730522510
oct11610624
94732183
102560404
111499740
12a35870
136b8542
144a9140
15358989
hex271194

2560404 has 96 divisors (see below), whose sum is σ = 7934976. Its totient is φ = 622080.

The previous prime is 2560399. The next prime is 2560417. The reversal of 2560404 is 4040652.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

2560404 is a modest number, since divided by 404 gives 256 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15627 + ... + 15789.

It is an arithmetic number, because the mean of its divisors is an integer number (82656).

22560404 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 2560404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967488).

2560404 is an abundant number, since it is smaller than the sum of its proper divisors (5374572).

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

2560404 is a wasteful number, since it uses less digits than its factorization.

2560404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2560404 is about 1600.1262450194. The cubic root of 2560404 is about 136.8052715044.

The spelling of 2560404 in words is "two million, five hundred sixty thousand, four hundred four".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 132 154 163 187 204 231 238 308 326 357 374 462 476 489 561 652 714 748 924 978 1122 1141 1309 1428 1793 1956 2244 2282 2618 2771 3423 3586 3927 4564 5236 5379 5542 6846 7172 7854 8313 10758 11084 12551 13692 15708 16626 19397 21516 25102 30481 33252 37653 38794 50204 58191 60962 75306 77588 91443 116382 121924 150612 182886 213367 232764 365772 426734 640101 853468 1280202 2560404