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12392010 = 2325157877
BaseRepresentation
bin101111010001…
…011001001010
3212022120122100
4233101121022
511133021020
61121334230
7210221211
oct57213112
925276570
1012392010
116aa4334
124197376
13274b567
141908078
15114ba90
hexbd164a

12392010 has 48 divisors (see below), whose sum is σ = 32461416. Its totient is φ = 3279744.

The previous prime is 12391999. The next prime is 12392011. The reversal of 12392010 is 1029321.

It is a happy number.

12392010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10673289 + 1718721 = 3267^2 + 1311^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12392011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13692 + ... + 14568.

Almost surely, 212392010 is an apocalyptic number.

12392010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12392010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16230708).

12392010 is an abundant number, since it is smaller than the sum of its proper divisors (20069406).

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

12392010 is a wasteful number, since it uses less digits than its factorization.

12392010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 12392010 is about 3520.2286857532. The cubic root of 12392010 is about 231.4091808824.

It can be divided in two parts, 1239 and 2010, that added together give a square (3249 = 572).

The spelling of 12392010 in words is "twelve million, three hundred ninety-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 314 471 785 877 942 1413 1570 1754 2355 2631 2826 4385 4710 5262 7065 7893 8770 13155 14130 15786 26310 39465 78930 137689 275378 413067 688445 826134 1239201 1376890 2065335 2478402 4130670 6196005 12392010