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13920365 = 517389421
BaseRepresentation
bin110101000110…
…100001101101
3222012020011002
4311012201231
512030422430
61214210045
7226215104
oct65064155
928166132
1013920365
117948638
1247b3925
132b65104
141bc503b
15134e845
hexd4686d

13920365 has 16 divisors (see below), whose sum is σ = 17774640. Its totient is φ = 10429440.

The previous prime is 13920349. The next prime is 13920367. The reversal of 13920365 is 56302931.

13920365 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2319529 + 11600836 = 1523^2 + 3406^2 .

It is not a de Polignac number, because 13920365 - 24 = 13920349 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13920367) 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, 32855 + ... + 33275.

It is an arithmetic number, because the mean of its divisors is an integer number (1110915).

Almost surely, 213920365 is an apocalyptic number.

It is an amenable number.

13920365 is a deficient number, since it is larger than the sum of its proper divisors (3854275).

13920365 is a wasteful number, since it uses less digits than its factorization.

13920365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832.

The product of its (nonzero) digits is 4860, while the sum is 29.

The square root of 13920365 is about 3731.0005360493. Note that the first 3 decimals coincide. The cubic root of 13920365 is about 240.5563770133.

The spelling of 13920365 in words is "thirteen million, nine hundred twenty thousand, three hundred sixty-five".

Divisors: 1 5 17 85 389 421 1945 2105 6613 7157 33065 35785 163769 818845 2784073 13920365