Search a number
-
+
12456216 = 23321131531
BaseRepresentation
bin101111100001…
…000100011000
3212102211201100
4233201010120
511142044331
61122551400
7210606333
oct57410430
925384640
1012456216
1170385a3
124208560
132771856
14192361a
151160ae6
hexbe1118

12456216 has 48 divisors (see below), whose sum is σ = 34056360. Its totient is φ = 4112640.

The previous prime is 12456211. The next prime is 12456217. The reversal of 12456216 is 61265421.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12456216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12456211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7371 + ... + 8901.

Almost surely, 212456216 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 12456216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17028180).

12456216 is an abundant number, since it is smaller than the sum of its proper divisors (21600144).

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

12456216 is a wasteful number, since it uses less digits than its factorization.

12456216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1649 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 12456216 is about 3529.3364815500. The cubic root of 12456216 is about 231.8081549191.

The spelling of 12456216 in words is "twelve million, four hundred fifty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 1531 2034 2712 3062 4068 4593 6124 8136 9186 12248 13779 18372 27558 36744 55116 110232 173003 346006 519009 692012 1038018 1384024 1557027 2076036 3114054 4152072 6228108 12456216