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12974800 = 2452163199
BaseRepresentation
bin110001011111…
…101011010000
3220102012002011
4301133223100
511310143200
61142032304
7215166256
oct61375320
926365064
1012974800
117362183
124418694
1328c38c7
141a1a5d6
1512145ba
hexc5fad0

12974800 has 60 divisors (see below), whose sum is σ = 31520800. Its totient is φ = 5132160.

The previous prime is 12974747. The next prime is 12974813. The reversal of 12974800 is 847921.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65101 + ... + 65299.

Almost surely, 212974800 is an apocalyptic number.

12974800 is a gapful number since it is divisible by the number (10) 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 12974800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15760400).

12974800 is an abundant number, since it is smaller than the sum of its proper divisors (18546000).

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

12974800 is a wasteful number, since it uses less digits than its factorization.

12974800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 12974800 is about 3602.0549690420. The cubic root of 12974800 is about 234.9814380993.

The spelling of 12974800 in words is "twelve million, nine hundred seventy-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 163 199 200 326 398 400 652 796 815 995 1304 1592 1630 1990 2608 3184 3260 3980 4075 4975 6520 7960 8150 9950 13040 15920 16300 19900 32437 32600 39800 64874 65200 79600 129748 162185 259496 324370 518992 648740 810925 1297480 1621850 2594960 3243700 6487400 12974800