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12615216 = 243892953
BaseRepresentation
bin110000000111…
…111000110000
3212201220211020
4300013320300
511212141331
61130215440
7212141025
oct60077060
925656736
1012615216
117136aa9
124284580
1327c9033
14196554c
151192c96
hexc07e30

12615216 has 40 divisors (see below), whose sum is σ = 32966640. Its totient is φ = 4156416.

The previous prime is 12615199. The next prime is 12615257. The reversal of 12615216 is 61251621.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

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, 2796 + ... + 5748.

It is an arithmetic number, because the mean of its divisors is an integer number (824166).

Almost surely, 212615216 is an apocalyptic number.

12615216 is a gapful number since it is divisible by the number (16) 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 12615216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16483320).

12615216 is an abundant number, since it is smaller than the sum of its proper divisors (20351424).

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

12615216 is a wasteful number, since it uses less digits than its factorization.

12615216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053 (or 3047 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 12615216 is about 3551.7905343643. The cubic root of 12615216 is about 232.7903091111.

Adding to 12615216 its reverse (61251621), we get a palindrome (73866837).

The spelling of 12615216 in words is "twelve million, six hundred fifteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 534 712 1068 1424 2136 2953 4272 5906 8859 11812 17718 23624 35436 47248 70872 141744 262817 525634 788451 1051268 1576902 2102536 3153804 4205072 6307608 12615216