Search a number
-
+
12908268 = 2233472543
BaseRepresentation
bin110001001111…
…011011101100
3220021210211000
4301033123230
511301031033
61140400300
7214501302
oct61173354
926253730
1012908268
11731719a
1243a6090
13289c539
141a00272
1511eea13
hexc4f6ec

12908268 has 48 divisors (see below), whose sum is σ = 34191360. Its totient is φ = 4209552.

The previous prime is 12908261. The next prime is 12908279. The reversal of 12908268 is 86280921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12908261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3805 + ... + 6347.

It is an arithmetic number, because the mean of its divisors is an integer number (712320).

Almost surely, 212908268 is an apocalyptic number.

12908268 is a gapful number since it is divisible by the number (18) 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 12908268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17095680).

12908268 is an abundant number, since it is smaller than the sum of its proper divisors (21283092).

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

12908268 is a wasteful number, since it uses less digits than its factorization.

12908268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2603 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 12908268 is about 3592.8078156228. The cubic root of 12908268 is about 234.5791047644.

The spelling of 12908268 in words is "twelve million, nine hundred eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 846 1269 1692 2538 2543 5076 5086 7629 10172 15258 22887 30516 45774 68661 91548 119521 137322 239042 274644 358563 478084 717126 1075689 1434252 2151378 3227067 4302756 6454134 12908268