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12799968 = 253151883
BaseRepresentation
bin110000110100…
…111111100000
3220002022020220
4300310333200
511234044333
61134203040
7213540456
oct60647740
926068226
1012799968
117252895
124353480
13286215c
1419b29d6
1511cc8b3
hexc34fe0

12799968 has 48 divisors (see below), whose sum is σ = 33860736. Its totient is φ = 4233600.

The previous prime is 12799957. The next prime is 12799973. The reversal of 12799968 is 86999721.

It is a happy number.

12799968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12799968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14055 + ... + 14937.

It is an arithmetic number, because the mean of its divisors is an integer number (705432).

Almost surely, 212799968 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 12799968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16930368).

12799968 is an abundant number, since it is smaller than the sum of its proper divisors (21060768).

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

12799968 is a wasteful number, since it uses less digits than its factorization.

12799968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1039 counting only the distinct ones).

The product of its digits is 489888, while the sum is 51.

The square root of 12799968 is about 3577.7042918609. The cubic root of 12799968 is about 233.9212241224.

The spelling of 12799968 in words is "twelve million, seven hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 302 453 604 883 906 1208 1766 1812 2416 2649 3532 3624 4832 5298 7064 7248 10596 14128 14496 21192 28256 42384 84768 133333 266666 399999 533332 799998 1066664 1599996 2133328 3199992 4266656 6399984 12799968