Search a number
-
+
14412300 = 2235276863
BaseRepresentation
bin110110111110…
…101000001100
31000010012221220
4312332220030
512142143200
61232523340
7233334240
oct66765014
930105856
1014412300
1181541a1
1249b0550
132ca7cb6
141cb2420
1513ea4a0
hexdbea0c

14412300 has 72 divisors (see below), whose sum is σ = 47663616. Its totient is φ = 3293760.

The previous prime is 14412271. The next prime is 14412301. The reversal of 14412300 is 321441.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14412300.

It is not an unprimeable number, because it can be changed into a prime (14412301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1332 + ... + 5531.

Almost surely, 214412300 is an apocalyptic number.

14412300 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 14412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23831808).

14412300 is an abundant number, since it is smaller than the sum of its proper divisors (33251316).

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

14412300 is a wasteful number, since it uses less digits than its factorization.

14412300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6887 (or 6880 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 14412300 is about 3796.3535135706. The cubic root of 14412300 is about 243.3573296324.

Adding to 14412300 its reverse (321441), we get a palindrome (14733741).

It can be divided in two parts, 1441 and 2300, that added together give a triangular number (3741 = T86).

The spelling of 14412300 in words is "fourteen million, four hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 6863 13726 20589 27452 34315 41178 48041 68630 82356 96082 102945 137260 144123 171575 192164 205890 240205 288246 343150 411780 480410 514725 576492 686300 720615 960820 1029450 1201025 1441230 2058900 2402050 2882460 3603075 4804100 7206150 14412300