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13538214 = 2322353617
BaseRepresentation
bin110011101001…
…001110100110
3221110210221100
4303221032212
511431210324
61202100530
7223034004
oct63511646
927423840
1013538214
117707508
12464a746
132a601a1
141b25a74
1512c64c9
hexce93a6

13538214 has 48 divisors (see below), whose sum is σ = 31236192. Its totient is φ = 4228224.

The previous prime is 13538197. The next prime is 13538233. The reversal of 13538214 is 41283531.

It is a happy number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 21634 + ... + 22250.

It is an arithmetic number, because the mean of its divisors is an integer number (650754).

Almost surely, 213538214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13538214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15618096).

13538214 is an abundant number, since it is smaller than the sum of its proper divisors (17697978).

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

13538214 is a wasteful number, since it uses less digits than its factorization.

13538214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 698 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 13538214 is about 3679.4312060426. The cubic root of 13538214 is about 238.3346163014.

The spelling of 13538214 in words is "thirteen million, five hundred thirty-eight thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 23 46 53 69 106 138 159 207 318 414 477 617 954 1219 1234 1851 2438 3657 3702 5553 7314 10971 11106 14191 21942 28382 32701 42573 65402 85146 98103 127719 196206 255438 294309 588618 752123 1504246 2256369 4512738 6769107 13538214