Search a number
-
+
12856540 = 22519231471
BaseRepresentation
bin110001000010…
…110011011100
3220012011212011
4301002303130
511242402130
61135321004
7214164424
oct61026334
926164764
1012856540
117291344
124380164
132881b28
1419c9484
1511de52a
hexc42cdc

12856540 has 48 divisors (see below), whose sum is σ = 29675520. Its totient is φ = 4656960.

The previous prime is 12856523. The next prime is 12856549. The reversal of 12856540 is 4565821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12856549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8005 + ... + 9475.

It is an arithmetic number, because the mean of its divisors is an integer number (618240).

Almost surely, 212856540 is an apocalyptic number.

12856540 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 12856540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14837760).

12856540 is an abundant number, since it is smaller than the sum of its proper divisors (16818980).

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

12856540 is a wasteful number, since it uses less digits than its factorization.

12856540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 12856540 is about 3585.6017626055. The cubic root of 12856540 is about 234.2653380908.

The spelling of 12856540 in words is "twelve million, eight hundred fifty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 380 437 460 874 1471 1748 2185 2942 4370 5884 7355 8740 14710 27949 29420 33833 55898 67666 111796 135332 139745 169165 279490 338330 558980 642827 676660 1285654 2571308 3214135 6428270 12856540