Search a number
-
+
14430192 = 243767641
BaseRepresentation
bin110111000010…
…111111110000
31000011010111120
4313002333300
512143231232
61233142240
7233440350
oct67027760
930133446
1014430192
118166687
1249ba980
132cb319a
141cb8b60
15140092c
hexdc2ff0

14430192 has 80 divisors (see below), whose sum is σ = 43306752. Its totient is φ = 4055040.

The previous prime is 14430191. The next prime is 14430209. The reversal of 14430192 is 29103441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14430191) 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, 22192 + ... + 22832.

Almost surely, 214430192 is an apocalyptic number.

14430192 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 14430192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21653376).

14430192 is an abundant number, since it is smaller than the sum of its proper divisors (28876560).

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

14430192 is a wasteful number, since it uses less digits than its factorization.

14430192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 14430192 is about 3798.7092544705. The cubic root of 14430192 is about 243.4579924639.

The spelling of 14430192 in words is "fourteen million, four hundred thirty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 84 112 134 168 201 268 336 402 469 536 641 804 938 1072 1282 1407 1608 1876 1923 2564 2814 3216 3752 3846 4487 5128 5628 7504 7692 8974 10256 11256 13461 15384 17948 22512 26922 30768 35896 42947 53844 71792 85894 107688 128841 171788 215376 257682 300629 343576 515364 601258 687152 901887 1030728 1202516 1803774 2061456 2405032 3607548 4810064 7215096 14430192