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12505164 = 2237413631
BaseRepresentation
bin101111101101…
…000001001100
3212112022212020
4233231001030
511200131124
61124010140
7211202130
oct57550114
925468766
1012505164
117071351
124230950
13278ac09
1419373c0
151170379
hexbed04c

12505164 has 48 divisors (see below), whose sum is σ = 34169856. Its totient is φ = 3484800.

The previous prime is 12505151. The next prime is 12505189. The reversal of 12505164 is 46150521.

12505164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1629 + ... + 5259.

It is an arithmetic number, because the mean of its divisors is an integer number (711872).

Almost surely, 212505164 is an apocalyptic number.

12505164 is a gapful number since it is divisible by the number (14) 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 12505164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17084928).

12505164 is an abundant number, since it is smaller than the sum of its proper divisors (21664692).

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

12505164 is a wasteful number, since it uses less digits than its factorization.

12505164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3686 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 12505164 is about 3536.2641304066. The cubic root of 12505164 is about 232.1113961670. Note that the first 3 decimals are identical.

Adding to 12505164 its reverse (46150521), we get a palindrome (58655685).

The spelling of 12505164 in words is "twelve million, five hundred five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1722 3444 3631 7262 10893 14524 21786 25417 43572 50834 76251 101668 148871 152502 297742 305004 446613 595484 893226 1042097 1786452 2084194 3126291 4168388 6252582 12505164