Search a number
-
+
12461504 = 261131571
BaseRepresentation
bin101111100010…
…010111000000
3212110002222012
4233202113000
511142232004
61123032052
7210630626
oct57422700
925402865
1012461504
117041570
12420b628
132774093
141925516
15116246e
hexbe25c0

12461504 has 56 divisors (see below), whose sum is σ = 27895296. Its totient is φ = 5472000.

The previous prime is 12461497. The next prime is 12461509. The reversal of 12461504 is 40516421.

It is a self number, because there is not a number n which added to its sum of digits gives 12461504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12461509) 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, 21539 + ... + 22109.

Almost surely, 212461504 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 12461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13947648).

12461504 is an abundant number, since it is smaller than the sum of its proper divisors (15433792).

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

12461504 is a wasteful number, since it uses less digits than its factorization.

12461504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 12461504 is about 3530.0855513712. The cubic root of 12461504 is about 231.8409532185.

Adding to 12461504 its reverse (40516421), we get a palindrome (52977925).

The spelling of 12461504 in words is "twelve million, four hundred sixty-one thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 176 248 341 352 496 571 682 704 992 1142 1364 1984 2284 2728 4568 5456 6281 9136 10912 12562 17701 18272 21824 25124 35402 36544 50248 70804 100496 141608 194711 200992 283216 389422 401984 566432 778844 1132864 1557688 3115376 6230752 12461504