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12505290 = 2357247181
BaseRepresentation
bin101111101101…
…000011001010
3212112100000220
4233231003022
511200132130
61124010510
7211202400
oct57550312
925470026
1012505290
117071456
124230a36
13278aca5
141937470
151170410
hexbed0ca

12505290 has 96 divisors (see below), whose sum is σ = 35852544. Its totient is φ = 2782080.

The previous prime is 12505271. The next prime is 12505291. The reversal of 12505290 is 9250521.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 12505290.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12505291) 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 47 ways as a sum of consecutive naturals, for example, 69000 + ... + 69180.

It is an arithmetic number, because the mean of its divisors is an integer number (373464).

Almost surely, 212505290 is an apocalyptic number.

12505290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12505290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17926272).

12505290 is an abundant number, since it is smaller than the sum of its proper divisors (23347254).

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

12505290 is a wasteful number, since it uses less digits than its factorization.

12505290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 12505290 is about 3536.2819457730. The cubic root of 12505290 is about 232.1121757366.

The spelling of 12505290 in words is "twelve million, five hundred five thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 49 70 94 98 105 141 147 181 210 235 245 282 294 329 362 470 490 543 658 705 735 905 987 1086 1267 1410 1470 1645 1810 1974 2303 2534 2715 3290 3801 4606 4935 5430 6335 6909 7602 8507 8869 9870 11515 12670 13818 17014 17738 19005 23030 25521 26607 34545 38010 42535 44345 51042 53214 59549 69090 85070 88690 119098 127605 133035 178647 255210 266070 297745 357294 416843 595490 833686 893235 1250529 1786470 2084215 2501058 4168430 6252645 12505290