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13085140 = 225654257
BaseRepresentation
bin110001111010…
…100111010100
3220121210102211
4301322213110
511322211030
61144243204
7216136045
oct61724724
926553384
1013085140
117428072
124470504
132931bb3
141a488cc
15123712a
hexc7a9d4

13085140 has 12 divisors (see below), whose sum is σ = 27478836. Its totient is φ = 5234048.

The previous prime is 13085113. The next prime is 13085141. The reversal of 13085140 is 4158031.

It can be written as a sum of positive squares in 2 ways, for example, as 7496644 + 5588496 = 2738^2 + 2364^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13085141) 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 3 ways as a sum of consecutive naturals, for example, 327109 + ... + 327148.

It is an arithmetic number, because the mean of its divisors is an integer number (2289903).

Almost surely, 213085140 is an apocalyptic number.

13085140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13085140 is an abundant number, since it is smaller than the sum of its proper divisors (14393696).

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

13085140 is a wasteful number, since it uses less digits than its factorization.

13085140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654266 (or 654264 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 13085140 is about 3617.3388008314. The cubic root of 13085140 is about 235.6456666762.

It can be divided in two parts, 13085 and 140, that added together give a square (13225 = 1152).

The spelling of 13085140 in words is "thirteen million, eighty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 654257 1308514 2617028 3271285 6542570 13085140