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12535140 = 2235593541
BaseRepresentation
bin101111110100…
…010101100100
3212120211222110
4233310111210
511202111030
61124401020
7211355412
oct57642544
925524873
1012535140
117091922
124246170
13279b757
1419442b2
1511791b0
hexbf4564

12535140 has 48 divisors (see below), whose sum is σ = 35703360. Its totient is φ = 3285120.

The previous prime is 12535123. The next prime is 12535141. The reversal of 12535140 is 4153521.

It is not an unprimeable number, because it can be changed into a prime (12535141) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1770 + ... + 5310.

It is an arithmetic number, because the mean of its divisors is an integer number (743820).

Almost surely, 212535140 is an apocalyptic number.

12535140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 3540×3541.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12535140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17851680).

12535140 is an abundant number, since it is smaller than the sum of its proper divisors (23168220).

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

12535140 is a wasteful number, since it uses less digits than its factorization.

12535140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 12535140 is about 3540.4999646943. The cubic root of 12535140 is about 232.2967121196.

Adding to 12535140 its reverse (4153521), we get a palindrome (16688661).

The spelling of 12535140 in words is "twelve million, five hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 3541 7082 10623 14164 17705 21246 35410 42492 53115 70820 106230 208919 212460 417838 626757 835676 1044595 1253514 2089190 2507028 3133785 4178380 6267570 12535140