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13726361 = 112176673
BaseRepresentation
bin110100010111…
…001010011001
3221211101000202
4310113022121
512003220421
61210111545
7224446355
oct64271231
927741022
1013726361
117825900
12471b5b5
132ac7a0c
141b74465
15131210b
hexd17299

13726361 has 12 divisors (see below), whose sum is σ = 15977556. Its totient is φ = 11742720.

The previous prime is 13726351. The next prime is 13726387. The reversal of 13726361 is 16362731.

13726361 is digitally balanced in base 2 and base 3, because in such bases 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 4840000 + 8886361 = 2200^2 + 2981^2 .

It is not a de Polignac number, because 13726361 - 214 = 13709977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13726301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1280 + ... + 5393.

It is an arithmetic number, because the mean of its divisors is an integer number (1331463).

Almost surely, 213726361 is an apocalyptic number.

13726361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13726361 is a deficient number, since it is larger than the sum of its proper divisors (2251195).

13726361 is a wasteful number, since it uses less digits than its factorization.

13726361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6712 (or 6701 counting only the distinct ones).

The product of its digits is 4536, while the sum is 29.

The square root of 13726361 is about 3704.9103902794. The cubic root of 13726361 is about 239.4336239512.

The spelling of 13726361 in words is "thirteen million, seven hundred twenty-six thousand, three hundred sixty-one".

Divisors: 1 11 17 121 187 2057 6673 73403 113441 807433 1247851 13726361