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12135700 = 2252121357
BaseRepresentation
bin101110010010…
…110100010100
3211211120001101
4232102310110
511101320300
61112035444
7205103023
oct56226424
924746041
1012135700
116939805
124092b84
13268b9b5
14187c8ba
1510eab6a
hexb92d14

12135700 has 18 divisors (see below), whose sum is σ = 26334686. Its totient is φ = 4854240.

The previous prime is 12135689. The next prime is 12135701. The reversal of 12135700 is 753121.

It can be written as a sum of positive squares in 3 ways, for example, as 1468944 + 10666756 = 1212^2 + 3266^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12135701) 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, 60579 + ... + 60778.

Almost surely, 212135700 is an apocalyptic number.

12135700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12135700 is an abundant number, since it is smaller than the sum of its proper divisors (14198986).

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

12135700 is a wasteful number, since it uses less digits than its factorization.

12135700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121371 (or 121364 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 12135700 is about 3483.6331609399. The cubic root of 12135700 is about 229.8026031600.

Adding to 12135700 its reverse (753121), we get a palindrome (12888821).

The spelling of 12135700 in words is "twelve million, one hundred thirty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 121357 242714 485428 606785 1213570 2427140 3033925 6067850 12135700