Search a number
-
+
13814406 = 23219311303
BaseRepresentation
bin110100101100…
…101010000110
3221222211210200
4310230222012
512014030111
61212031330
7225264144
oct64545206
927884720
1013814406
117885a71
124762546
132b28b08
141b98594
15132d256
hexd2ca86

13814406 has 48 divisors (see below), whose sum is σ = 32547840. Its totient is φ = 4218480.

The previous prime is 13814393. The next prime is 13814419. The reversal of 13814406 is 60441831.

It is an interprime number because it is at equal distance from previous prime (13814393) and next prime (13814419).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13814406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9951 + ... + 11253.

It is an arithmetic number, because the mean of its divisors is an integer number (678080).

Almost surely, 213814406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13814406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16273920).

13814406 is an abundant number, since it is smaller than the sum of its proper divisors (18733434).

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

13814406 is a wasteful number, since it uses less digits than its factorization.

13814406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13814406 is about 3716.7736008533. The cubic root of 13814406 is about 239.9444663177.

The spelling of 13814406 in words is "thirteen million, eight hundred fourteen thousand, four hundred six".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 279 342 558 589 1178 1303 1767 2606 3534 3909 5301 7818 10602 11727 23454 24757 40393 49514 74271 80786 121179 148542 222813 242358 363537 445626 727074 767467 1534934 2302401 4604802 6907203 13814406