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12894364 = 22717103263
BaseRepresentation
bin110001001100…
…000010011100
3220021002202001
4301030002130
511300104424
61140212044
7214412620
oct61140234
926232661
1012894364
1173077aa
12439a024
132896102
1419d9180
1511ea844
hexc4c09c

12894364 has 48 divisors (see below), whose sum is σ = 27675648. Its totient is φ = 5131008.

The previous prime is 12894361. The next prime is 12894379. The reversal of 12894364 is 46349821.

12894364 = 772 + 782 + ... + 3392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12894361) 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, 48897 + ... + 49159.

It is an arithmetic number, because the mean of its divisors is an integer number (576576).

Almost surely, 212894364 is an apocalyptic number.

12894364 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 12894364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13837824).

12894364 is an abundant number, since it is smaller than the sum of its proper divisors (14781284).

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

12894364 is a wasteful number, since it uses less digits than its factorization.

12894364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 392 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 12894364 is about 3590.8723174182. The cubic root of 12894364 is about 234.4948497315.

The spelling of 12894364 in words is "twelve million, eight hundred ninety-four thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 17 28 34 68 103 119 206 238 263 412 476 526 721 1052 1442 1751 1841 2884 3502 3682 4471 7004 7364 8942 12257 17884 24514 27089 31297 49028 54178 62594 108356 125188 189623 379246 460513 758492 921026 1842052 3223591 6447182 12894364