Search a number
-
+
12797856 = 2532371201
BaseRepresentation
bin110000110100…
…011110100000
3220002012100200
4300310132200
511234012411
61134145200
7213531351
oct60643640
926065320
1012797856
117251245
124352200
1328611c6
1419b1d28
1511cbe56
hexc347a0

12797856 has 72 divisors (see below), whose sum is σ = 37408644. Its totient is φ = 4147200.

The previous prime is 12797833. The next prime is 12797879. The reversal of 12797856 is 65879721.

It is an interprime number because it is at equal distance from previous prime (12797833) and next prime (12797879).

It can be written as a sum of positive squares in 2 ways, for example, as 12531600 + 266256 = 3540^2 + 516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10056 + ... + 11256.

Almost surely, 212797856 is an apocalyptic number.

12797856 is a gapful number since it is divisible by the number (16) 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 12797856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18704322).

12797856 is an abundant number, since it is smaller than the sum of its proper divisors (24610788).

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

12797856 is a wasteful number, since it uses less digits than its factorization.

12797856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1243 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 12797856 is about 3577.4091183425. The cubic root of 12797856 is about 233.9083577152.

The spelling of 12797856 in words is "twelve million, seven hundred ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1201 1332 1776 2402 2664 3552 3603 4804 5328 7206 9608 10656 10809 14412 19216 21618 28824 38432 43236 44437 57648 86472 88874 115296 133311 172944 177748 266622 345888 355496 399933 533244 710992 799866 1066488 1421984 1599732 2132976 3199464 4265952 6398928 12797856