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12503140 = 22513192531
BaseRepresentation
bin101111101100…
…100001100100
3212112020002021
4233230201210
511200100030
61123552524
7211163206
oct57544144
925466067
1012503140
11706a881
12422b744
13278a010
141936776
15116e97a
hexbec864

12503140 has 48 divisors (see below), whose sum is σ = 29776320. Its totient is φ = 4371840.

The previous prime is 12503131. The next prime is 12503149. The reversal of 12503140 is 4130521.

12503140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12503131) and next prime (12503149).

It is not an unprimeable number, because it can be changed into a prime (12503149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3675 + ... + 6205.

It is an arithmetic number, because the mean of its divisors is an integer number (620340).

Almost surely, 212503140 is an apocalyptic number.

12503140 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 12503140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14888160).

12503140 is an abundant number, since it is smaller than the sum of its proper divisors (17273180).

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

12503140 is a wasteful number, since it uses less digits than its factorization.

12503140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572 (or 2570 counting only the distinct ones).

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

The square root of 12503140 is about 3535.9779411077. The cubic root of 12503140 is about 232.0988728389.

Adding to 12503140 its reverse (4130521), we get a palindrome (16633661).

The spelling of 12503140 in words is "twelve million, five hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1235 2470 2531 4940 5062 10124 12655 25310 32903 48089 50620 65806 96178 131612 164515 192356 240445 329030 480890 625157 658060 961780 1250314 2500628 3125785 6251570 12503140