Search a number
-
+
12886368 = 2531112203
BaseRepresentation
bin110001001010…
…000101100000
3220020200202220
4301022011200
511244330433
61140111040
7214350405
oct61120540
926220686
1012886368
1173017a0
124395480
132892591
1419d62ac
1511e82b3
hexc4a160

12886368 has 48 divisors (see below), whose sum is σ = 36904896. Its totient is φ = 3904640.

The previous prime is 12886343. The next prime is 12886381. The reversal of 12886368 is 86368821.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 5046 + ... + 7157.

It is an arithmetic number, because the mean of its divisors is an integer number (768852).

Almost surely, 212886368 is an apocalyptic number.

It is an amenable number.

12886368 is an abundant number, since it is smaller than the sum of its proper divisors (24018528).

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

12886368 is a wasteful number, since it uses less digits than its factorization.

12886368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12227 (or 12219 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 12886368 is about 3589.7587662683. The cubic root of 12886368 is about 234.4463683813.

The spelling of 12886368 in words is "twelve million, eight hundred eighty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 12203 24406 36609 48812 73218 97624 134233 146436 195248 268466 292872 390496 402699 536932 585744 805398 1073864 1171488 1610796 2147728 3221592 4295456 6443184 12886368