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13706682 = 2311972141
BaseRepresentation
bin110100010010…
…010110111010
3221210101000220
4310102112322
512002103212
61205440510
7224335113
oct64222672
927711026
1013706682
117812040
124710136
132abba82
141b6b20a
15130b38c
hexd125ba

13706682 has 32 divisors (see below), whose sum is σ = 30227904. Its totient is φ = 4108800.

The previous prime is 13706663. The next prime is 13706683. The reversal of 13706682 is 28660731.

13706682 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (13706683) 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, 5332 + ... + 7472.

It is an arithmetic number, because the mean of its divisors is an integer number (944622).

Almost surely, 213706682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13706682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15113952).

13706682 is an abundant number, since it is smaller than the sum of its proper divisors (16521222).

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

13706682 is a wasteful number, since it uses less digits than its factorization.

13706682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 13706682 is about 3702.2536379886. The cubic root of 13706682 is about 239.3191467104.

The spelling of 13706682 in words is "thirteen million, seven hundred six thousand, six hundred eighty-two".

Divisors: 1 2 3 6 11 22 33 66 97 194 291 582 1067 2134 2141 3201 4282 6402 6423 12846 23551 47102 70653 141306 207677 415354 623031 1246062 2284447 4568894 6853341 13706682