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13673682 = 23211531303
BaseRepresentation
bin110100001010…
…010011010010
3221201200202200
4310022103102
512000024212
61205024030
7224136651
oct64122322
927650680
1013673682
11779a270
1246b5016
132aa9a49
141b5d198
1513016dc
hexd0a4d2

13673682 has 48 divisors (see below), whose sum is σ = 32954688. Its totient is φ = 4062240.

The previous prime is 13673657. The next prime is 13673687. The reversal of 13673682 is 28637631.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13673687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9843 + ... + 11145.

It is an arithmetic number, because the mean of its divisors is an integer number (686556).

Almost surely, 213673682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13673682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16477344).

13673682 is an abundant number, since it is smaller than the sum of its proper divisors (19281006).

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

13673682 is a wasteful number, since it uses less digits than its factorization.

13673682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1372 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 13673682 is about 3697.7942073620. The cubic root of 13673682 is about 239.1269319856.

The spelling of 13673682 in words is "thirteen million, six hundred seventy-three thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 159 198 318 477 583 954 1166 1303 1749 2606 3498 3909 5247 7818 10494 11727 14333 23454 28666 42999 69059 85998 128997 138118 207177 257994 414354 621531 759649 1243062 1519298 2278947 4557894 6836841 13673682