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12461264 = 2419179229
BaseRepresentation
bin101111100010…
…010011010000
3212110002122022
4233202103100
511142230024
61123031012
7210630134
oct57422320
925402568
1012461264
117041372
12420b468
132773c3a
1419253c4
15116235e
hexbe24d0

12461264 has 40 divisors (see below), whose sum is σ = 25668000. Its totient is φ = 5844096.

The previous prime is 12461261. The next prime is 12461269. The reversal of 12461264 is 46216421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12461261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54302 + ... + 54530.

It is an arithmetic number, because the mean of its divisors is an integer number (641700).

Almost surely, 212461264 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 12461264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12834000).

12461264 is an abundant number, since it is smaller than the sum of its proper divisors (13206736).

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

12461264 is a wasteful number, since it uses less digits than its factorization.

12461264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 429 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 12461264 is about 3530.0515576971. The cubic root of 12461264 is about 231.8394648431.

Adding to 12461264 its reverse (46216421), we get a palindrome (58677685).

The spelling of 12461264 in words is "twelve million, four hundred sixty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 19 38 76 152 179 229 304 358 458 716 916 1432 1832 2864 3401 3664 4351 6802 8702 13604 17404 27208 34808 40991 54416 69616 81982 163964 327928 655856 778829 1557658 3115316 6230632 12461264