Search a number
-
+
13106412 = 223211231439
BaseRepresentation
bin110001111111…
…110011101100
3220122212121200
4301333303230
511323401122
61144525500
7216255054
oct61776354
926585550
1013106412
117442050
124480890
13293b797
141a52564
15123d5ac
hexc7fcec

13106412 has 72 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 3796320.

The previous prime is 13106411. The next prime is 13106413. The reversal of 13106412 is 21460131.

It is a happy number.

13106412 is a `hidden beast` number, since 13 + 10 + 641 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13106411) and next prime (13106413).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13106411) 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, 8389 + ... + 9827.

It is an arithmetic number, because the mean of its divisors is an integer number (524160).

Almost surely, 213106412 is an apocalyptic number.

13106412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13106412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

13106412 is an abundant number, since it is smaller than the sum of its proper divisors (24633108).

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

13106412 is a wasteful number, since it uses less digits than its factorization.

13106412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13106412 is about 3620.2778898864. The cubic root of 13106412 is about 235.7732908560.

Adding to 13106412 its reverse (21460131), we get a palindrome (34566543).

The spelling of 13106412 in words is "thirteen million, one hundred six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1439 1518 2277 2878 3036 4317 4554 5756 8634 9108 12951 15829 17268 25902 31658 33097 47487 51804 63316 66194 94974 99291 132388 142461 189948 198582 284922 297873 364067 397164 569844 595746 728134 1092201 1191492 1456268 2184402 3276603 4368804 6553206 13106412