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12805992 = 2333101587
BaseRepresentation
bin110000110110…
…011101101000
3220002121112000
4300312131220
511234242432
61134251000
7213564153
oct60663550
926077460
1012805992
117257371
124356a60
132864b14
1419b4c9a
1511ce57c
hexc36768

12805992 has 64 divisors (see below), whose sum is σ = 35985600. Its totient is φ = 4219200.

The previous prime is 12805973. The next prime is 12805993. The reversal of 12805992 is 29950821.

12805992 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×128059922 = 327986862208128, which contains 22 as substring.

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 (12805993) 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, 21523 + ... + 22109.

It is an arithmetic number, because the mean of its divisors is an integer number (562275).

Almost surely, 212805992 is an apocalyptic number.

12805992 is a gapful number since it is divisible by the number (12) 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 12805992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17992800).

12805992 is an abundant number, since it is smaller than the sum of its proper divisors (23179608).

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

12805992 is a wasteful number, since it uses less digits than its factorization.

12805992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 12805992 is about 3578.5460734773. The cubic root of 12805992 is about 233.9579148509.

The spelling of 12805992 in words is "twelve million, eight hundred five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 101 108 202 216 303 404 587 606 808 909 1174 1212 1761 1818 2348 2424 2727 3522 3636 4696 5283 5454 7044 7272 10566 10908 14088 15849 21132 21816 31698 42264 59287 63396 118574 126792 177861 237148 355722 474296 533583 711444 1067166 1422888 1600749 2134332 3201498 4268664 6402996 12805992