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10384420 = 2253714033
BaseRepresentation
bin100111100111…
…010000100100
3201112120202011
4213213100210
510124300140
61010324004
7154160164
oct47472044
921476664
1010384420
115952a72
123589604
1321c7837
1415445a4
15da1cea
hex9e7424

10384420 has 24 divisors (see below), whose sum is σ = 22398264. Its totient is φ = 4041216.

The previous prime is 10384403. The next prime is 10384459. The reversal of 10384420 is 2448301.

It can be written as a sum of positive squares in 4 ways, for example, as 1094116 + 9290304 = 1046^2 + 3048^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10384391 and 10384400.

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 7 ways as a sum of consecutive naturals, for example, 6277 + ... + 7756.

It is an arithmetic number, because the mean of its divisors is an integer number (933261).

Almost surely, 210384420 is an apocalyptic number.

10384420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10384420 is an abundant number, since it is smaller than the sum of its proper divisors (12013844).

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

10384420 is a wasteful number, since it uses less digits than its factorization.

10384420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14079 (or 14077 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 10384420 is about 3222.4866175052. The cubic root of 10384420 is about 218.1695227709.

The spelling of 10384420 in words is "ten million, three hundred eighty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 14033 28066 56132 70165 140330 280660 519221 1038442 2076884 2596105 5192210 10384420