Search a number
-
+
12814092 = 2233592011
BaseRepresentation
bin110000111000…
…011100001100
3220010000122000
4300320130030
511240022332
61134352300
7213626604
oct60703414
926100560
1012814092
117262465
12435b690
132868705
1419b7c04
1511d1b7c
hexc3870c

12814092 has 48 divisors (see below), whose sum is σ = 33801600. Its totient is φ = 4196880.

The previous prime is 12814079. The next prime is 12814093. The reversal of 12814092 is 29041821.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (12814093) 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, 5367 + ... + 7377.

It is an arithmetic number, because the mean of its divisors is an integer number (704200).

Almost surely, 212814092 is an apocalyptic number.

12814092 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 12814092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16900800).

12814092 is an abundant number, since it is smaller than the sum of its proper divisors (20987508).

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

12814092 is a wasteful number, since it uses less digits than its factorization.

12814092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 12814092 is about 3579.6776391178. The cubic root of 12814092 is about 234.0072318606.

The spelling of 12814092 in words is "twelve million, eight hundred fourteen thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 177 236 354 531 708 1062 1593 2011 2124 3186 4022 6033 6372 8044 12066 18099 24132 36198 54297 72396 108594 118649 217188 237298 355947 474596 711894 1067841 1423788 2135682 3203523 4271364 6407046 12814092