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5590416 = 2431317231
BaseRepresentation
bin10101010100110110010000
3101112000121110
4111110312100
52412343131
6315453320
765342406
oct25246620
911460543
105590416
113179187
121a57240
131209750
14a57476
15756646
hex554d90

5590416 has 120 divisors (see below), whose sum is σ = 17054464. Its totient is φ = 1566720.

The previous prime is 5590381. The next prime is 5590421. The reversal of 5590416 is 6140955.

It is a super-3 number, since 3×55904163 (a number of 21 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180321 + ... + 180351.

Almost surely, 25590416 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 5590416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8527232).

5590416 is an abundant number, since it is smaller than the sum of its proper divisors (11464048).

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

5590416 is a wasteful number, since it uses less digits than its factorization.

5590416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 5590416 is about 2364.4060564971. The cubic root of 5590416 is about 177.4794368826.

It can be divided in two parts, 5590 and 416, that added together give a palindrome (6006).

The spelling of 5590416 in words is "five million, five hundred ninety thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 31 34 39 48 51 52 62 68 78 93 102 104 124 136 156 186 204 208 221 248 272 289 312 372 403 408 442 496 527 578 624 663 744 806 816 867 884 1054 1156 1209 1326 1488 1581 1612 1734 1768 2108 2312 2418 2652 3162 3224 3468 3536 3757 4216 4624 4836 5304 6324 6448 6851 6936 7514 8432 8959 9672 10608 11271 12648 13702 13872 15028 17918 19344 20553 22542 25296 26877 27404 30056 35836 41106 45084 53754 54808 60112 71672 82212 90168 107508 109616 116467 143344 164424 180336 215016 232934 328848 349401 430032 465868 698802 931736 1397604 1863472 2795208 5590416