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13506093 = 321924157
BaseRepresentation
bin110011100001…
…011000101101
3221102011212200
4303201120231
511424143333
61201252113
7222541236
oct63413055
927364780
1013506093
117695367
124634039
132a4b693
141b1808d
1512bbc13
hexce162d

13506093 has 18 divisors (see below), whose sum is σ = 20594574. Its totient is φ = 8528112.

The previous prime is 13506091. The next prime is 13506113. The reversal of 13506093 is 39060531.

13506093 is a `hidden beast` number, since 1 + 3 + 50 + 609 + 3 = 666.

13506093 is digitally balanced in base 2 and base 4, 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 only one way, i.e., 11309769 + 2196324 = 3363^2 + 1482^2 .

It is not a de Polignac number, because 13506093 - 21 = 13506091 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 (13506091) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1171 + ... + 5327.

It is an arithmetic number, because the mean of its divisors is an integer number (1144143).

Almost surely, 213506093 is an apocalyptic number.

It is an amenable number.

13506093 is a deficient number, since it is larger than the sum of its proper divisors (7088481).

13506093 is a wasteful number, since it uses less digits than its factorization.

13506093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4201 (or 4179 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 13506093 is about 3675.0636729178. The cubic root of 13506093 is about 238.1459747577.

The spelling of 13506093 in words is "thirteen million, five hundred six thousand, ninety-three".

Divisors: 1 3 9 19 57 171 361 1083 3249 4157 12471 37413 78983 236949 710847 1500677 4502031 13506093