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12772812 = 22313411997
BaseRepresentation
bin110000101110…
…010111001100
3220000221000010
4300232113030
511232212222
61133433220
7213365343
oct60562714
926027003
1012772812
117234448
12433b810
1328529a0
1419a6b5a
1511c480c
hexc2e5cc

12772812 has 48 divisors (see below), whose sum is σ = 32895072. Its totient is φ = 3832320.

The previous prime is 12772811. The next prime is 12772817. The reversal of 12772812 is 21827721.

It is a happy number.

12772812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12772812.

It is not an unprimeable number, because it can be changed into a prime (12772811) 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, 5398 + ... + 7394.

It is an arithmetic number, because the mean of its divisors is an integer number (685314).

Almost surely, 212772812 is an apocalyptic number.

12772812 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 12772812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16447536).

12772812 is an abundant number, since it is smaller than the sum of its proper divisors (20122260).

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

12772812 is a wasteful number, since it uses less digits than its factorization.

12772812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058 (or 2056 counting only the distinct ones).

The product of its digits is 3136, while the sum is 30.

The square root of 12772812 is about 3573.9071056758. The cubic root of 12772812 is about 233.7556804171.

The spelling of 12772812 in words is "twelve million, seven hundred seventy-two thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 492 533 1066 1599 1997 2132 3198 3994 5991 6396 7988 11982 23964 25961 51922 77883 81877 103844 155766 163754 245631 311532 327508 491262 982524 1064401 2128802 3193203 4257604 6386406 12772812