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13138605 = 34532441
BaseRepresentation
bin110010000111…
…101010101101
3220201111210000
4302013222231
511330413410
61145334513
7216450654
oct62075255
926644700
1013138605
117464257
124497439
13295032c
141a6019b
151247dc0
hexc87aad

13138605 has 20 divisors (see below), whose sum is σ = 23552892. Its totient is φ = 7007040.

The previous prime is 13138591. The next prime is 13138639. The reversal of 13138605 is 50683131.

It can be written as a sum of positive squares in 2 ways, for example, as 9253764 + 3884841 = 3042^2 + 1971^2 .

It is a de Polignac number, because none of the positive numbers 2k-13138605 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 15816 + ... + 16625.

Almost surely, 213138605 is an apocalyptic number.

13138605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13138605 is a deficient number, since it is larger than the sum of its proper divisors (10414287).

13138605 is an equidigital number, since it uses as much as digits as its factorization.

13138605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32458 (or 32449 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13138605 is about 3624.7213686020. The cubic root of 13138605 is about 235.9661746503.

The spelling of 13138605 in words is "thirteen million, one hundred thirty-eight thousand, six hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 32441 97323 162205 291969 486615 875907 1459845 2627721 4379535 13138605