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12290512 = 2413371597
BaseRepresentation
bin101110111000…
…100111010000
3212010102102011
4232320213100
511121244022
61115232304
7206316253
oct56704720
925112364
1012290512
116a35053
124148694
1327142c0
1418bd09a
15112b977
hexbb89d0

12290512 has 40 divisors (see below), whose sum is σ = 26354216. Its totient is φ = 5515776.

The previous prime is 12290503. The next prime is 12290521. The reversal of 12290512 is 21509221.

12290512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12290503) and next prime (12290521).

It can be written as a sum of positive squares in 4 ways, for example, as 839056 + 11451456 = 916^2 + 3384^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6898 + ... + 8494.

Almost surely, 212290512 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 12290512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13177108).

12290512 is an abundant number, since it is smaller than the sum of its proper divisors (14063704).

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

12290512 is a wasteful number, since it uses less digits than its factorization.

12290512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 12290512 is about 3505.7826515630. The cubic root of 12290512 is about 230.7756547044.

Adding to 12290512 its reverse (21509221), we get a palindrome (33799733).

The spelling of 12290512 in words is "twelve million, two hundred ninety thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 962 1597 1924 3194 3848 6388 7696 12776 20761 25552 41522 59089 83044 118178 166088 236356 332176 472712 768157 945424 1536314 3072628 6145256 12290512