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12504144 = 243892927
BaseRepresentation
bin101111101100…
…110001010000
3212112021110110
4233230301100
511200113034
61124001320
7211166142
oct57546120
925467413
1012504144
117070604
124230240
13278a603
141936c92
15116ede9
hexbecc50

12504144 has 40 divisors (see below), whose sum is σ = 32676480. Its totient is φ = 4119808.

The previous prime is 12504119. The next prime is 12504161. The reversal of 12504144 is 44140521.

It is a happy number.

12504144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12504144.

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, 2809 + ... + 5735.

It is an arithmetic number, because the mean of its divisors is an integer number (816912).

Almost surely, 212504144 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 12504144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16338240).

12504144 is an abundant number, since it is smaller than the sum of its proper divisors (20172336).

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

12504144 is a wasteful number, since it uses less digits than its factorization.

12504144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3027 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 12504144 is about 3536.1199074692. The cubic root of 12504144 is about 232.1050851726.

Adding to 12504144 its reverse (44140521), we get a palindrome (56644665).

The spelling of 12504144 in words is "twelve million, five hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 534 712 1068 1424 2136 2927 4272 5854 8781 11708 17562 23416 35124 46832 70248 140496 260503 521006 781509 1042012 1563018 2084024 3126036 4168048 6252072 12504144