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14424020 = 22513291913
BaseRepresentation
bin110111000001…
…011111010100
31000010211000222
4313001133110
512143032040
61233053512
7233413352
oct67013724
930124028
1014424020
118161a86
1249b7298
132cb0430
141cb67d2
1513edbb5
hexdc17d4

14424020 has 48 divisors (see below), whose sum is σ = 33762960. Its totient is φ = 5139456.

The previous prime is 14424001. The next prime is 14424073. The reversal of 14424020 is 2042441.

It can be written as a sum of positive squares in 8 ways, for example, as 29584 + 14394436 = 172^2 + 3794^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14424020.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6584 + ... + 8496.

It is an arithmetic number, because the mean of its divisors is an integer number (703395).

Almost surely, 214424020 is an apocalyptic number.

14424020 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 14424020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16881480).

14424020 is an abundant number, since it is smaller than the sum of its proper divisors (19338940).

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

14424020 is a wasteful number, since it uses less digits than its factorization.

14424020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 14424020 is about 3797.8967863806. The cubic root of 14424020 is about 243.4232773562.

Adding to 14424020 its reverse (2042441), we get a palindrome (16466461).

The spelling of 14424020 in words is "fourteen million, four hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 1913 3770 3826 7540 7652 9565 19130 24869 38260 49738 55477 99476 110954 124345 221908 248690 277385 497380 554770 721201 1109540 1442402 2884804 3606005 7212010 14424020