Search a number
-
+
13730106 = 23131031709
BaseRepresentation
bin110100011000…
…000100111010
3221211120011110
4310120010322
512003330411
61210141150
7224463315
oct64300472
927746143
1013730106
1178286a5
1247217b6
132ac9630
141b7597c
1513132a6
hexd1813a

13730106 has 32 divisors (see below), whose sum is σ = 29877120. Its totient is φ = 4181184.

The previous prime is 13730089. The next prime is 13730111. The reversal of 13730106 is 60103731.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7180 + ... + 8888.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 213730106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13730106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938560).

13730106 is an abundant number, since it is smaller than the sum of its proper divisors (16147014).

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

13730106 is a wasteful number, since it uses less digits than its factorization.

13730106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830.

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 13730106 is about 3705.4157661455. The cubic root of 13730106 is about 239.4553970778.

Adding to 13730106 its reverse (60103731), we get a palindrome (73833837).

The spelling of 13730106 in words is "thirteen million, seven hundred thirty thousand, one hundred six".

Divisors: 1 2 3 6 13 26 39 78 103 206 309 618 1339 1709 2678 3418 4017 5127 8034 10254 22217 44434 66651 133302 176027 352054 528081 1056162 2288351 4576702 6865053 13730106