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12290616 = 2334131459
BaseRepresentation
bin101110111000…
…101000111000
3212010102120000
4232320220320
511121244431
61115233000
7206316462
oct56705070
925112500
1012290616
116a35138
124148760
132714370
1418bd132
15112b9e6
hexbb8a38

12290616 has 80 divisors (see below), whose sum is σ = 37098600. Its totient is φ = 3779136.

The previous prime is 12290573. The next prime is 12290617. The reversal of 12290616 is 61609221.

12290616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×122906163 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 12290616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12290617) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7695 + ... + 9153.

Almost surely, 212290616 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 12290616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18549300).

12290616 is an abundant number, since it is smaller than the sum of its proper divisors (24807984).

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

12290616 is a wasteful number, since it uses less digits than its factorization.

12290616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 12290616 is about 3505.7974841682. The cubic root of 12290616 is about 230.7763056293.

Adding to 12290616 its reverse (61609221), we get a palindrome (73899837).

The spelling of 12290616 in words is "twelve million, two hundred ninety thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 1459 2106 2808 2918 4212 4377 5836 8424 8754 11672 13131 17508 18967 26262 35016 37934 39393 52524 56901 75868 78786 105048 113802 118179 151736 157572 170703 227604 236358 315144 341406 455208 472716 512109 682812 945432 1024218 1365624 1536327 2048436 3072654 4096872 6145308 12290616