Search a number
-
+
12493585 = 513732633
BaseRepresentation
bin101111101010…
…001100010001
3212111201222101
4233222030101
511144243320
61123440401
7211123306
oct57521421
925451871
1012493585
117063685
124226101
132785870
1419330ad
15116bc0a
hexbea311

12493585 has 16 divisors (see below), whose sum is σ = 16372944. Its totient is φ = 9096192.

The previous prime is 12493573. The next prime is 12493597. The reversal of 12493585 is 58539421.

12493585 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 (12493573) and next prime (12493597).

It can be written as a sum of positive squares in 8 ways, for example, as 2047761 + 10445824 = 1431^2 + 3232^2 .

It is a cyclic number.

It is not a de Polignac number, because 12493585 - 211 = 12491537 is a prime.

It is a super-3 number, since 3×124935853 (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3429 + ... + 6061.

It is an arithmetic number, because the mean of its divisors is an integer number (1023309).

Almost surely, 212493585 is an apocalyptic number.

It is an amenable number.

12493585 is a deficient number, since it is larger than the sum of its proper divisors (3879359).

12493585 is a wasteful number, since it uses less digits than its factorization.

12493585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724.

The product of its digits is 43200, while the sum is 37.

The square root of 12493585 is about 3534.6265715065. The cubic root of 12493585 is about 232.0397338307.

The spelling of 12493585 in words is "twelve million, four hundred ninety-three thousand, five hundred eighty-five".

Divisors: 1 5 13 65 73 365 949 2633 4745 13165 34229 171145 192209 961045 2498717 12493585