Search a number
-
+
14618730 = 2357671039
BaseRepresentation
bin110111110001…
…000001101010
31000111201010110
4313301001222
512220244410
61241155150
7235154130
oct67610152
930451113
1014618730
1182852a5
124a8bab6
13304ac49
141d27750
15143b720
hexdf106a

14618730 has 64 divisors (see below), whose sum is σ = 40734720. Its totient is φ = 3288384.

The previous prime is 14618729. The next prime is 14618749. The reversal of 14618730 is 3781641.

It is a happy number.

14618730 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13551 + ... + 14589.

It is an arithmetic number, because the mean of its divisors is an integer number (636480).

Almost surely, 214618730 is an apocalyptic number.

14618730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14618730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20367360).

14618730 is an abundant number, since it is smaller than the sum of its proper divisors (26115990).

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

14618730 is a wasteful number, since it uses less digits than its factorization.

14618730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 14618730 is about 3823.4447818688. Note that the first 3 decimals coincide. The cubic root of 14618730 is about 244.5137098631.

The spelling of 14618730 in words is "fourteen million, six hundred eighteen thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 67 70 105 134 201 210 335 402 469 670 938 1005 1039 1407 2010 2078 2345 2814 3117 4690 5195 6234 7035 7273 10390 14070 14546 15585 21819 31170 36365 43638 69613 72730 109095 139226 208839 218190 348065 417678 487291 696130 974582 1044195 1461873 2088390 2436455 2923746 4872910 7309365 14618730