Search a number
-
+
12509640 = 233751113
BaseRepresentation
bin101111101110…
…000111001000
3212112120000000
4233232013020
511200302030
61124043000
7211221153
oct57560710
925476000
1012509640
117074750
124233460
13278cc70
141938c9a
151171860
hexbee1c8

12509640 has 256 divisors, whose sum is σ = 49593600. Its totient is φ = 2799360.

The previous prime is 12509611. The next prime is 12509641. The reversal of 12509640 is 4690521.

12509640 is a `hidden beast` number, since 12 + 5 + 0 + 9 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12509641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 962274 + ... + 962286.

It is an arithmetic number, because the mean of its divisors is an integer number (193725).

It is a vampire number, since it can be written as 21065940 (with its own digits).

Almost surely, 212509640 is an apocalyptic number.

12509640 is a gapful number since it is divisible by the number (10) 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 12509640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24796800).

12509640 is an abundant number, since it is smaller than the sum of its proper divisors (37083960).

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

12509640 is a wasteful number, since it uses less digits than its factorization.

12509640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 12509640 is about 3536.8969450636. The cubic root of 12509640 is about 232.1390862391.

The spelling of 12509640 in words is "twelve million, five hundred nine thousand, six hundred forty".