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13740829 = 6723061
BaseRepresentation
bin110100011010…
…101100011101
3221212002212121
4310122230131
512004201304
61210302541
7224536504
oct64325435
927762777
1013740829
117835763
124727a51
132b0148b
141b7983b
151316554
hexd1ab1d

13740829 has 6 divisors (see below), whose sum is σ = 13953534. Its totient is φ = 13531320.

The previous prime is 13740823. The next prime is 13740841. The reversal of 13740829 is 92804731.

It can be written as a sum of positive squares in only one way, i.e., 13579225 + 161604 = 3685^2 + 402^2 .

It is not a de Polignac number, because 13740829 - 29 = 13740317 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13740794 and 13740803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13740823) 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 5 ways as a sum of consecutive naturals, for example, 2959 + ... + 6019.

It is an arithmetic number, because the mean of its divisors is an integer number (2325589).

Almost surely, 213740829 is an apocalyptic number.

It is an amenable number.

13740829 is a deficient number, since it is larger than the sum of its proper divisors (212705).

13740829 is an frugal number, since it uses more digits than its factorization.

13740829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 13740829 is about 3706.8624198910. The cubic root of 13740829 is about 239.5177178414.

The spelling of 13740829 in words is "thirteen million, seven hundred forty thousand, eight hundred twenty-nine".

Divisors: 1 67 3061 4489 205087 13740829