Search a number
-
+
14293800 = 2333522647
BaseRepresentation
bin110110100001…
…101100101000
3222220012102000
4312201230220
512124400200
61230211000
7232331613
oct66415450
928805360
1014293800
118083164
124953a60
132c66091
141c8117a
1513c5300
hexda1b28

14293800 has 96 divisors (see below), whose sum is σ = 49252800. Its totient is φ = 3810240.

The previous prime is 14293793. The next prime is 14293813. The reversal of 14293800 is 839241.

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

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, 4077 + ... + 6723.

It is an arithmetic number, because the mean of its divisors is an integer number (513050).

Almost surely, 214293800 is an apocalyptic number.

14293800 is a gapful number since it is divisible by the number (10) 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 14293800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24626400).

14293800 is an abundant number, since it is smaller than the sum of its proper divisors (34959000).

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

14293800 is a wasteful number, since it uses less digits than its factorization.

14293800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 14293800 is about 3780.7142182397. The cubic root of 14293800 is about 242.6885202850.

The spelling of 14293800 in words is "fourteen million, two hundred ninety-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2647 2700 5294 5400 7941 10588 13235 15882 21176 23823 26470 31764 39705 47646 52940 63528 66175 71469 79410 95292 105880 119115 132350 142938 158820 190584 198525 238230 264700 285876 317640 357345 397050 476460 529400 571752 595575 714690 794100 952920 1191150 1429380 1588200 1786725 2382300 2858760 3573450 4764600 7146900 14293800