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13041006 = 23111759197
BaseRepresentation
bin110001101111…
…110101101110
3220112112220020
4301233311232
511314303011
61143303010
7215563266
oct61576556
926475806
1013041006
1173a79a0
12444aa66
132917a94
141a367a6
151229006
hexc6fd6e

13041006 has 64 divisors (see below), whose sum is σ = 30792960. Its totient is φ = 3637760.

The previous prime is 13041001. The next prime is 13041013. The reversal of 13041006 is 60014031.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13041001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66100 + ... + 66296.

It is an arithmetic number, because the mean of its divisors is an integer number (481140).

Almost surely, 213041006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13041006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15396480).

13041006 is an abundant number, since it is smaller than the sum of its proper divisors (17751954).

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

13041006 is a wasteful number, since it uses less digits than its factorization.

13041006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 13041006 is about 3611.2333073342. The cubic root of 13041006 is about 235.3804370522.

Adding to 13041006 its reverse (60014031), we get a palindrome (73055037).

The spelling of 13041006 in words is "thirteen million, forty-one thousand, six".

Divisors: 1 2 3 6 11 17 22 33 34 51 59 66 102 118 177 187 197 354 374 394 561 591 649 1003 1122 1182 1298 1947 2006 2167 3009 3349 3894 4334 6018 6501 6698 10047 11033 11623 13002 20094 22066 23246 33099 34869 36839 66198 69738 73678 110517 127853 197591 221034 255706 383559 395182 592773 767118 1185546 2173501 4347002 6520503 13041006