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2013024020 = 2257102114083
BaseRepresentation
bin111011111111100…
…0100111100010100
312012021212012211012
41313333010330110
513110313232040
6531430031352
7100612264460
oct16777047424
95167765735
102013024020
11943332817
124821a8558
13261087497
141514c94a0
15bbad6865
hex77fc4f14

2013024020 has 48 divisors (see below), whose sum is σ = 4836332928. Its totient is φ = 689454720.

The previous prime is 2013024019. The next prime is 2013024037. The reversal of 2013024020 is 204203102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2013023986 and 2013024004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135899 + ... + 149981.

It is an arithmetic number, because the mean of its divisors is an integer number (100756936).

Almost surely, 22013024020 is an apocalyptic number.

2013024020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013024020 is an abundant number, since it is smaller than the sum of its proper divisors (2823308908).

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

2013024020 is a wasteful number, since it uses less digits than its factorization.

2013024020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15120 (or 15118 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2013024020 is about 44866.7362307534. The cubic root of 2013024020 is about 1262.6500075981.

Adding to 2013024020 its reverse (204203102), we get a palindrome (2217227122).

The spelling of 2013024020 in words is "two billion, thirteen million, twenty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1021 2042 4084 5105 7147 10210 14083 14294 20420 28166 28588 35735 56332 70415 71470 98581 140830 142940 197162 281660 394324 492905 985810 1971620 14378743 28757486 57514972 71893715 100651201 143787430 201302402 287574860 402604804 503256005 1006512010 2013024020