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12831400 = 235264157
BaseRepresentation
bin110000111100…
…101010101000
3220010220101001
4300330222220
511241101100
61135004344
7214031221
oct60745250
926126331
1012831400
11727446a
1243696b4
13287355a
1419c0248
1511d6d6a
hexc3caa8

12831400 has 24 divisors (see below), whose sum is σ = 29833470. Its totient is φ = 5132480.

The previous prime is 12831391. The next prime is 12831407. The reversal of 12831400 is 413821.

It can be written as a sum of positive squares in 3 ways, for example, as 11874916 + 956484 = 3446^2 + 978^2 .

It is not an unprimeable number, because it can be changed into a prime (12831407) 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 5 ways as a sum of consecutive naturals, for example, 31879 + ... + 32278.

Almost surely, 212831400 is an apocalyptic number.

12831400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12831400 is an abundant number, since it is smaller than the sum of its proper divisors (17002070).

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

12831400 is a wasteful number, since it uses less digits than its factorization.

12831400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64173 (or 64164 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 12831400 is about 3582.0943594495. The cubic root of 12831400 is about 234.1125423527.

It can be divided in two parts, 12831 and 400, that added together give a palindrome (13231).

The spelling of 12831400 in words is "twelve million, eight hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 64157 128314 256628 320785 513256 641570 1283140 1603925 2566280 3207850 6415700 12831400