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12240552 = 2332943409
BaseRepresentation
bin101110101100…
…011010101000
3212000212212210
4232230122220
511113144202
61114205120
7206020512
oct56543250
925025783
1012240552
116a00565
1241237a0
1326c763c
1418a8bb2
15111bc6c
hexbac6a8

12240552 has 64 divisors (see below), whose sum is σ = 32472000. Its totient is φ = 3838464.

The previous prime is 12240511. The next prime is 12240559. The reversal of 12240552 is 25504221.

It is a happy number.

12240552 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-2 number, since 2×122405522 = 299662226529408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12240559) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29724 + ... + 30132.

It is an arithmetic number, because the mean of its divisors is an integer number (507375).

Almost surely, 212240552 is an apocalyptic number.

12240552 is a gapful number since it is divisible by the number (12) 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 12240552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16236000).

12240552 is an abundant number, since it is smaller than the sum of its proper divisors (20231448).

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

12240552 is a wasteful number, since it uses less digits than its factorization.

12240552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 12240552 is about 3498.6500253669. The cubic root of 12240552 is about 230.4625348675.

Adding to 12240552 its reverse (25504221), we get a palindrome (37744773).

The spelling of 12240552 in words is "twelve million, two hundred forty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 29 43 58 86 87 116 129 172 174 232 258 344 348 409 516 696 818 1032 1227 1247 1636 2454 2494 3272 3741 4908 4988 7482 9816 9976 11861 14964 17587 23722 29928 35174 35583 47444 52761 70348 71166 94888 105522 140696 142332 211044 284664 422088 510023 1020046 1530069 2040092 3060138 4080184 6120276 12240552