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12820992 = 29317491
BaseRepresentation
bin110000111010…
…001000000000
3220010101002120
4300322020000
511240232432
61134444240
7213655662
oct60721000
926111076
1012820992
117267668
124363680
13286b8b2
1419ba532
1511d3c2c
hexc3a200

12820992 has 80 divisors (see below), whose sum is σ = 36238752. Its totient is φ = 4014080.

The previous prime is 12820979. The next prime is 12821021. The reversal of 12820992 is 29902821.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25867 + ... + 26357.

Almost surely, 212820992 is an apocalyptic number.

12820992 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 12820992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18119376).

12820992 is an abundant number, since it is smaller than the sum of its proper divisors (23417760).

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

12820992 is an equidigital number, since it uses as much as digits as its factorization.

12820992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 12820992 is about 3580.6412833458. The cubic root of 12820992 is about 234.0492262570.

The spelling of 12820992 in words is "twelve million, eight hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 491 512 544 768 816 982 1088 1473 1536 1632 1964 2176 2946 3264 3928 4352 5892 6528 7856 8347 8704 11784 13056 15712 16694 23568 25041 26112 31424 33388 47136 50082 62848 66776 94272 100164 125696 133552 188544 200328 251392 267104 377088 400656 534208 754176 801312 1068416 1602624 2136832 3205248 4273664 6410496 12820992