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13840585 = 511222877
BaseRepresentation
bin110100110011…
…000011001001
3222001011201021
4310303003021
512020344320
61212352441
7225433363
oct64630311
928034637
1013840585
1178a3700
124775721
132b379c5
141ba3d33
151335daa
hexd330c9

13840585 has 12 divisors (see below), whose sum is σ = 18256644. Its totient is φ = 10065440.

The previous prime is 13840583. The next prime is 13840591. The reversal of 13840585 is 58504831.

13840585 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8952064 + 4888521 = 2992^2 + 2211^2 .

It is not a de Polignac number, because 13840585 - 21 = 13840583 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13840585.

It is not an unprimeable number, because it can be changed into a prime (13840583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10834 + ... + 12043.

It is an arithmetic number, because the mean of its divisors is an integer number (1521387).

Almost surely, 213840585 is an apocalyptic number.

It is an amenable number.

13840585 is a deficient number, since it is larger than the sum of its proper divisors (4416059).

13840585 is a wasteful number, since it uses less digits than its factorization.

13840585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22904 (or 22893 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 13840585 is about 3720.2936712039. The cubic root of 13840585 is about 240.0959396524.

The spelling of 13840585 in words is "thirteen million, eight hundred forty thousand, five hundred eighty-five".

Divisors: 1 5 11 55 121 605 22877 114385 251647 1258235 2768117 13840585