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5603312 = 2411133179
BaseRepresentation
bin10101010111111111110000
3101112200022002
4111113333300
52413301222
6320033132
765425121
oct25277760
911480262
105603312
113187940
121a627a8
131212590
14a5c048
1575a392
hex557ff0

5603312 has 80 divisors (see below), whose sum is σ = 13332480. Its totient is φ = 2246400.

The previous prime is 5603291. The next prime is 5603341. The reversal of 5603312 is 2133065.

It is a super-3 number, since 3×56033123 (a number of 21 digits) contains 333 as substring.

It is a zygodrome in base 4.

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, 70889 + ... + 70967.

It is an arithmetic number, because the mean of its divisors is an integer number (166656).

Almost surely, 25603312 is an apocalyptic number.

5603312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5603312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6666240).

5603312 is an abundant number, since it is smaller than the sum of its proper divisors (7729168).

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

5603312 is a wasteful number, since it uses less digits than its factorization.

5603312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 5603312 is about 2367.1315975247. The cubic root of 5603312 is about 177.6158022354.

Adding to 5603312 its reverse (2133065), we get a palindrome (7736377).

The spelling of 5603312 in words is "five million, six hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 31 44 52 62 79 88 104 124 143 158 176 208 248 286 316 341 403 496 572 632 682 806 869 1027 1144 1264 1364 1612 1738 2054 2288 2449 2728 3224 3476 4108 4433 4898 5456 6448 6952 8216 8866 9796 11297 13904 16432 17732 19592 22594 26939 31837 35464 39184 45188 53878 63674 70928 90376 107756 127348 180752 215512 254696 350207 431024 509392 700414 1400828 2801656 5603312