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13138769 = 729591097
BaseRepresentation
bin110010000111…
…101101010001
3220201112000002
4302013231101
511330420034
61145335345
7216451310
oct62075521
926645002
1013138769
117464396
124497555
132950427
141a60277
151247e7e
hexc87b51

13138769 has 16 divisors (see below), whose sum is σ = 15811200. Its totient is φ = 10679424.

The previous prime is 13138757. The next prime is 13138771. The reversal of 13138769 is 96783131.

13138769 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-13138769 is a prime.

It is a super-2 number, since 2×131387692 = 345254501670722, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13138789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11429 + ... + 12525.

It is an arithmetic number, because the mean of its divisors is an integer number (988200).

Almost surely, 213138769 is an apocalyptic number.

It is an amenable number.

13138769 is a deficient number, since it is larger than the sum of its proper divisors (2672431).

13138769 is a wasteful number, since it uses less digits than its factorization.

13138769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192.

The product of its digits is 27216, while the sum is 38.

The square root of 13138769 is about 3624.7439909599. The cubic root of 13138769 is about 235.9671564464.

The spelling of 13138769 in words is "thirteen million, one hundred thirty-eight thousand, seven hundred sixty-nine".

Divisors: 1 7 29 59 203 413 1097 1711 7679 11977 31813 64723 222691 453061 1876967 13138769