Search a number
-
+
12458985 = 3572112367
BaseRepresentation
bin101111100001…
…101111101001
3212102222111220
4233201233221
511142141420
61123012253
7210620400
oct57415751
925388456
1012458985
11703a690
12420a089
132772ba6
141924637
151161840
hexbe1be9

12458985 has 96 divisors (see below), whose sum is σ = 26790912. Its totient is φ = 4878720.

The previous prime is 12458969. The next prime is 12459001. The reversal of 12458985 is 58985421.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12458969) and next prime (12459001).

It is not a de Polignac number, because 12458985 - 24 = 12458969 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 185922 + ... + 185988.

It is an arithmetic number, because the mean of its divisors is an integer number (279072).

Almost surely, 212458985 is an apocalyptic number.

12458985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12458985 is an abundant number, since it is smaller than the sum of its proper divisors (14331927).

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

12458985 is a wasteful number, since it uses less digits than its factorization.

12458985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 116 counting only the distinct ones).

The product of its digits is 115200, while the sum is 42.

The square root of 12458985 is about 3529.7287431189. The cubic root of 12458985 is about 231.8253305265.

The spelling of 12458985 in words is "twelve million, four hundred fifty-eight thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 11 15 21 23 33 35 49 55 67 69 77 105 115 147 161 165 201 231 245 253 335 345 385 469 483 539 735 737 759 805 1005 1127 1155 1265 1407 1541 1617 1771 2211 2345 2415 2695 3283 3381 3685 3795 4623 5159 5313 5635 7035 7705 8085 8855 9849 10787 11055 12397 15477 16415 16905 16951 23115 25795 26565 32361 36113 37191 49245 50853 53935 61985 75509 77385 84755 108339 118657 161805 180565 185955 226527 254265 355971 377545 541695 593285 830599 1132635 1779855 2491797 4152995 12458985