Search a number
-
+
10018420 = 225500921
BaseRepresentation
bin100110001101…
…111001110100
3200211222200121
4212031321310
510031042140
6554421324
7151104136
oct46157164
920758617
1010018420
115722a95
123431844
1320ca079
14148b056
15d2d64a
hex98de74

10018420 has 12 divisors (see below), whose sum is σ = 21038724. Its totient is φ = 4007360.

The previous prime is 10018357. The next prime is 10018429. The reversal of 10018420 is 2481001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4691556 + 5326864 = 2166^2 + 2308^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10018394 and 10018403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10018429) 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 3 ways as a sum of consecutive naturals, for example, 250441 + ... + 250480.

It is an arithmetic number, because the mean of its divisors is an integer number (1753227).

Almost surely, 210018420 is an apocalyptic number.

10018420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10018420 is an abundant number, since it is smaller than the sum of its proper divisors (11020304).

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

10018420 is a wasteful number, since it uses less digits than its factorization.

10018420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500930 (or 500928 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 10018420 is about 3165.1887779404. The cubic root of 10018420 is about 215.5756701548.

Adding to 10018420 its reverse (2481001), we get a palindrome (12499421).

The spelling of 10018420 in words is "ten million, eighteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 500921 1001842 2003684 2504605 5009210 10018420