Search a number
-
+
14320410 = 2351373503
BaseRepresentation
bin110110101000…
…001100011010
3222221112220120
4312220030122
512131223120
61230534110
7232502316
oct66501432
928845816
1014320410
1180a1155
124967336
132c75220
141c8ab46
1513cd140
hexda831a

14320410 has 64 divisors (see below), whose sum is σ = 37594368. Its totient is φ = 3469824.

The previous prime is 14320381. The next prime is 14320447. The reversal of 14320410 is 1402341.

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 14320410.

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 31 ways as a sum of consecutive naturals, for example, 28219 + ... + 28721.

It is an arithmetic number, because the mean of its divisors is an integer number (587412).

Almost surely, 214320410 is an apocalyptic number.

14320410 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 14320410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18797184).

14320410 is an abundant number, since it is smaller than the sum of its proper divisors (23273958).

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

14320410 is a wasteful number, since it uses less digits than its factorization.

14320410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599.

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

The square root of 14320410 is about 3784.2317582305. The cubic root of 14320410 is about 242.8390269894.

Adding to 14320410 its reverse (1402341), we get a palindrome (15722751).

The spelling of 14320410 in words is "fourteen million, three hundred twenty thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 73 78 130 146 195 219 365 390 438 503 730 949 1006 1095 1509 1898 2190 2515 2847 3018 4745 5030 5694 6539 7545 9490 13078 14235 15090 19617 28470 32695 36719 39234 65390 73438 98085 110157 183595 196170 220314 367190 477347 550785 954694 1101570 1432041 2386735 2864082 4773470 7160205 14320410