[go: up one dir, main page]

Search a number
-
+
12792816 = 24349871
BaseRepresentation
bin110000110011…
…001111110000
3220001221110000
4300303033300
511233332231
61134110000
7213510561
oct60631760
926057400
1012792816
117248483
12434b300
13285bb1a
1419b0168
1511ca6e6
hexc333f0

12792816 has 50 divisors (see below), whose sum is σ = 37029872. Its totient is φ = 4263840.

The previous prime is 12792811. The next prime is 12792817. The reversal of 12792816 is 61829721.

12792816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×127928162 = 327312282419712, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12792811) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3640 + ... + 6231.

Almost surely, 212792816 is an apocalyptic number.

12792816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12792816 is an abundant number, since it is smaller than the sum of its proper divisors (24237056).

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

12792816 is an equidigital number, since it uses as much as digits as its factorization.

12792816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9891 (or 9876 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 12792816 is about 3576.7046285652. The cubic root of 12792816 is about 233.8776480684.

It can be divided in two parts, 1279 and 2816, that added together give a triangular number (4095 = T90).

The spelling of 12792816 in words is "twelve million, seven hundred ninety-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 9871 19742 29613 39484 59226 78968 88839 118452 157936 177678 236904 266517 355356 473808 533034 710712 799551 1066068 1421424 1599102 2132136 3198204 4264272 6396408 12792816