Search a number
-
+
5603268 = 22311217227
BaseRepresentation
bin10101010111111111000100
3101112200020110
4111113333010
52413301033
6320033020
765425026
oct25277704
911480213
105603268
113187900
121a62770
131212558
14a5c016
1575a363
hex557fc4

5603268 has 72 divisors (see below), whose sum is σ = 15283296. Its totient is φ = 1591040.

The previous prime is 5603267. The next prime is 5603291. The reversal of 5603268 is 8623065.

It is a super-2 number, since 2×56032682 = 62793224559648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5603267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24571 + ... + 24797.

It is an arithmetic number, because the mean of its divisors is an integer number (212268).

Almost surely, 25603268 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 5603268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7641648).

5603268 is an abundant number, since it is smaller than the sum of its proper divisors (9680028).

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

5603268 is a wasteful number, since it uses less digits than its factorization.

5603268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 5603268 is about 2367.1223035576. The cubic root of 5603268 is about 177.6153373249.

It can be divided in two parts, 560 and 3268, that added together give a triangular number (3828 = T87).

The spelling of 5603268 in words is "five million, six hundred three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 121 132 187 204 227 242 363 374 454 484 561 681 726 748 908 1122 1362 1452 2057 2244 2497 2724 3859 4114 4994 6171 7491 7718 8228 9988 11577 12342 14982 15436 23154 24684 27467 29964 42449 46308 54934 82401 84898 109868 127347 164802 169796 254694 329604 466939 509388 933878 1400817 1867756 2801634 5603268