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12784968 = 2332725367
BaseRepresentation
bin110000110001…
…010101001000
3220001112200100
4300301111020
511233104333
61134005400
7213445650
oct60612510
926045610
1012784968
117242599
124346860
132858391
1419ab360
1511c8213
hexc31548

12784968 has 48 divisors (see below), whose sum is σ = 39574080. Its totient is φ = 3652704.

The previous prime is 12784951. The next prime is 12784991. The reversal of 12784968 is 86948721.

It is a super-2 number, since 2×127849682 = 326910813522048, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12180 + ... + 13187.

It is an arithmetic number, because the mean of its divisors is an integer number (824460).

Almost surely, 212784968 is an apocalyptic number.

12784968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12784968 is an abundant number, since it is smaller than the sum of its proper divisors (26789112).

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

12784968 is a wasteful number, since it uses less digits than its factorization.

12784968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25386 (or 25379 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 12784968 is about 3575.6073609948. The cubic root of 12784968 is about 233.8298126988.

The spelling of 12784968 in words is "twelve million, seven hundred eighty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 25367 50734 76101 101468 152202 177569 202936 228303 304404 355138 456606 532707 608808 710276 913212 1065414 1420552 1598121 1826424 2130828 3196242 4261656 6392484 12784968