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12873640 = 23513191303
BaseRepresentation
bin110001000110…
…111110101000
3220020001022111
4301012332220
511243424030
61135532104
7214265323
oct61067650
926201274
1012873640
1172a317a
12438a034
132889850
1419d17ba
1511e462a
hexc46fa8

12873640 has 64 divisors (see below), whose sum is σ = 32860800. Its totient is φ = 4499712.

The previous prime is 12873611. The next prime is 12873673. The reversal of 12873640 is 4637821.

12873640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9229 + ... + 10531.

It is an arithmetic number, because the mean of its divisors is an integer number (513450).

Almost surely, 212873640 is an apocalyptic number.

12873640 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 12873640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16430400).

12873640 is an abundant number, since it is smaller than the sum of its proper divisors (19987160).

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

12873640 is a wasteful number, since it uses less digits than its factorization.

12873640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 12873640 is about 3587.9855072171. The cubic root of 12873640 is about 234.3691545801.

The spelling of 12873640 in words is "twelve million, eight hundred seventy-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 380 494 520 760 988 1235 1303 1976 2470 2606 4940 5212 6515 9880 10424 13030 16939 24757 26060 33878 49514 52120 67756 84695 99028 123785 135512 169390 198056 247570 321841 338780 495140 643682 677560 990280 1287364 1609205 2574728 3218410 6436820 12873640