Search a number
-
+
12881592 = 2334103193
BaseRepresentation
bin110001001000…
…111010111000
3220020110020000
4301020322320
511244202332
61140033000
7214330443
oct61107270
926213200
1012881592
1172a9149
124392760
132890359
1419d465a
1511e6b7c
hexc48eb8

12881592 has 80 divisors (see below), whose sum is σ = 36619440. Its totient is φ = 4230144.

The previous prime is 12881581. The next prime is 12881599. The reversal of 12881592 is 29518821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12881599) 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 19 ways as a sum of consecutive naturals, for example, 66648 + ... + 66840.

It is an arithmetic number, because the mean of its divisors is an integer number (457743).

Almost surely, 212881592 is an apocalyptic number.

12881592 is a gapful number since it is divisible by the number (12) 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 12881592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18309720).

12881592 is an abundant number, since it is smaller than the sum of its proper divisors (23737848).

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

12881592 is a wasteful number, since it uses less digits than its factorization.

12881592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 301 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 12881592 is about 3589.0934788606. The cubic root of 12881592 is about 234.4174009687.

The spelling of 12881592 in words is "twelve million, eight hundred eighty-one thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 103 108 162 193 206 216 309 324 386 412 579 618 648 772 824 927 1158 1236 1544 1737 1854 2316 2472 2781 3474 3708 4632 5211 5562 6948 7416 8343 10422 11124 13896 15633 16686 19879 20844 22248 31266 33372 39758 41688 59637 62532 66744 79516 119274 125064 159032 178911 238548 357822 477096 536733 715644 1073466 1431288 1610199 2146932 3220398 4293864 6440796 12881592