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13538106 = 232752117
BaseRepresentation
bin110011101001…
…001100111010
3221110210210100
4303221030322
511431204411
61202100230
7223033461
oct63511472
927423710
1013538106
11770741a
12464a676
132a6011a
141b259d8
1512c6456
hexce933a

13538106 has 12 divisors (see below), whose sum is σ = 29332602. Its totient is φ = 4512696.

The previous prime is 13538093. The next prime is 13538111. The reversal of 13538106 is 60183531.

It can be written as a sum of positive squares in only one way, i.e., 9090225 + 4447881 = 3015^2 + 2109^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13538106.

It is an unprimeable number.

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, 376041 + ... + 376076.

Almost surely, 213538106 is an apocalyptic number.

13538106 is an abundant number, since it is smaller than the sum of its proper divisors (15794496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13538106 is a wasteful number, since it uses less digits than its factorization.

13538106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752125 (or 752122 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13538106 is about 3679.4165298319. The cubic root of 13538106 is about 238.3339825347. Note that the first 3 decimals are identical.

The spelling of 13538106 in words is "thirteen million, five hundred thirty-eight thousand, one hundred six".

Divisors: 1 2 3 6 9 18 752117 1504234 2256351 4512702 6769053 13538106