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12816276 = 22311151643
BaseRepresentation
bin110000111000…
…111110010100
3220010010121220
4300320332110
511240110101
61134410340
7213636144
oct60707624
926103556
1012816276
117264070
1243609b0
1328696c5
1419b8924
1511d2636
hexc38f94

12816276 has 48 divisors (see below), whose sum is σ = 32890368. Its totient is φ = 3852000.

The previous prime is 12816269. The next prime is 12816277. The reversal of 12816276 is 67261821.

12816276 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12816277) 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, 19611 + ... + 20253.

It is an arithmetic number, because the mean of its divisors is an integer number (685216).

Almost surely, 212816276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12816276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16445184).

12816276 is an abundant number, since it is smaller than the sum of its proper divisors (20074092).

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

12816276 is a wasteful number, since it uses less digits than its factorization.

12816276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 810 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 12816276 is about 3579.9826815224. The cubic root of 12816276 is about 234.0205256303.

It can be divided in two parts, 1281 and 6276, that added together give a palindrome (7557).

The spelling of 12816276 in words is "twelve million, eight hundred sixteen thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 151 302 453 604 643 906 1286 1661 1812 1929 2572 3322 3858 4983 6644 7073 7716 9966 14146 19932 21219 28292 42438 84876 97093 194186 291279 388372 582558 1068023 1165116 2136046 3204069 4272092 6408138 12816276