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12632268 = 22311831153
BaseRepresentation
bin110000001100…
…000011001100
3212202210012210
4300030003030
511213213033
61130430420
7212241525
oct60140314
925683183
1012632268
1171488a0
124292410
132803a1c
14196b84c
151197d63
hexc0c0cc

12632268 has 48 divisors (see below), whose sum is σ = 32570496. Its totient is φ = 3778560.

The previous prime is 12632251. The next prime is 12632297. The reversal of 12632268 is 86223621.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

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, 10380 + ... + 11532.

It is an arithmetic number, because the mean of its divisors is an integer number (678552).

Almost surely, 212632268 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 12632268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16285248).

12632268 is an abundant number, since it is smaller than the sum of its proper divisors (19938228).

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

12632268 is a wasteful number, since it uses less digits than its factorization.

12632268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1252 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 12632268 is about 3554.1902031264. The cubic root of 12632268 is about 232.8951495184.

Adding to 12632268 its reverse (86223621), we get a palindrome (98855889).

The spelling of 12632268 in words is "twelve million, six hundred thirty-two thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 83 132 166 249 332 498 913 996 1153 1826 2306 2739 3459 3652 4612 5478 6918 10956 12683 13836 25366 38049 50732 76098 95699 152196 191398 287097 382796 574194 1052689 1148388 2105378 3158067 4210756 6316134 12632268