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12135400 = 2352471291
BaseRepresentation
bin101110010010…
…101111101000
3211211112122021
4232102233220
511101313100
61112034224
7205102114
oct56225750
924745567
1012135400
116939562
124092974
13268b814
14187c744
1510eaa1a
hexb92be8

12135400 has 48 divisors (see below), whose sum is σ = 28837440. Its totient is φ = 4747200.

The previous prime is 12135367. The next prime is 12135413. The reversal of 12135400 is 453121.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8755 + ... + 10045.

It is an arithmetic number, because the mean of its divisors is an integer number (600780).

Almost surely, 212135400 is an apocalyptic number.

12135400 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 12135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14418720).

12135400 is an abundant number, since it is smaller than the sum of its proper divisors (16702040).

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

12135400 is a wasteful number, since it uses less digits than its factorization.

12135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 12135400 is about 3483.5901021791. The cubic root of 12135400 is about 229.8007095362.

Adding to 12135400 its reverse (453121), we get a palindrome (12588521).

The spelling of 12135400 in words is "twelve million, one hundred thirty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 940 1175 1291 1880 2350 2582 4700 5164 6455 9400 10328 12910 25820 32275 51640 60677 64550 121354 129100 242708 258200 303385 485416 606770 1213540 1516925 2427080 3033850 6067700 12135400