Search a number
-
+
12293856 = 25361731
BaseRepresentation
bin101110111001…
…011011100000
3212010121000000
4232321123200
511121400411
61115300000
7206332101
oct56713340
925117000
1012293856
116a37613
12414a600
132715993
1418c03a8
15112c956
hexbb96e0

12293856 has 168 divisors, whose sum is σ = 39662784. Its totient is φ = 3732480.

The previous prime is 12293851. The next prime is 12293881. The reversal of 12293856 is 65839221.

It is a super-2 number, since 2×122938562 = 302277790697472, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12293856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12293851) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 396561 + ... + 396591.

It is an arithmetic number, because the mean of its divisors is an integer number (236088).

Almost surely, 212293856 is an apocalyptic number.

12293856 is a gapful number since it is divisible by the number (16) 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 12293856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19831392).

12293856 is an abundant number, since it is smaller than the sum of its proper divisors (27368928).

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

12293856 is an equidigital number, since it uses as much as digits as its factorization.

12293856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 53 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 12293856 is about 3506.2595454416. The cubic root of 12293856 is about 230.7965826042.

The spelling of 12293856 in words is "twelve million, two hundred ninety-three thousand, eight hundred fifty-six".