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12798976 = 21029431
BaseRepresentation
bin110000110100…
…110000000000
3220002020220011
4300310300000
511234031401
61134154304
7213534541
oct60646000
926066804
1012798976
117252073
124352994
132861878
1419b24c8
1511cc451
hexc34c00

12798976 has 44 divisors (see below), whose sum is σ = 26529120. Its totient is φ = 6164480.

The previous prime is 12798967. The next prime is 12798979. The reversal of 12798976 is 67989721.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12798979) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 29481 + ... + 29911.

Almost surely, 212798976 is an apocalyptic number.

12798976 is a gapful number since it is divisible by the number (16) 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 12798976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13264560).

12798976 is an abundant number, since it is smaller than the sum of its proper divisors (13730144).

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

12798976 is an equidigital number, since it uses as much as digits as its factorization.

12798976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 462 counting only the distinct ones).

The product of its digits is 381024, while the sum is 49.

The square root of 12798976 is about 3577.5656527868. The cubic root of 12798976 is about 233.9151809862.

The spelling of 12798976 in words is "twelve million, seven hundred ninety-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 431 464 512 862 928 1024 1724 1856 3448 3712 6896 7424 12499 13792 14848 24998 27584 29696 49996 55168 99992 110336 199984 220672 399968 441344 799936 1599872 3199744 6399488 12798976