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2024020000420 = 225112836371901
BaseRepresentation
bin11101011101000000111…
…111100011111010100100
321011111100102201022002021
4131131000333203322210
5231130143110003140
64145453312552524
7266142050065555
oct35350077437244
97144312638067
102024020000420
11710422584700
12288328252744
13118b30a44082
146dd6aa1432c
15379b1b1eb4a
hex1d740fe3ea4

2024020000420 has 36 divisors (see below), whose sum is σ = 4671973444572. Its totient is φ = 736007272000.

The previous prime is 2024020000367. The next prime is 2024020000439. The reversal of 2024020000420 is 240000204202.

It can be written as a sum of positive squares in 2 ways, for example, as 1086697832704 + 937322167716 = 1042448^2 + 968154^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2024020000394 and 2024020000403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 418183531 + ... + 418188370.

It is an arithmetic number, because the mean of its divisors is an integer number (129777040127).

Almost surely, 22024020000420 is an apocalyptic number.

2024020000420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024020000420 is an abundant number, since it is smaller than the sum of its proper divisors (2647953444152).

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

2024020000420 is a wasteful number, since it uses less digits than its factorization.

2024020000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836371932 (or 836371919 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 2024020000420 its reverse (240000204202), we get a palindrome (2264020204622).

The spelling of 2024020000420 in words is "two trillion, twenty-four billion, twenty million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 836371901 1672743802 3345487604 4181859505 8363719010 9200090911 16727438020 18400181822 36800363644 46000454555 92000909110 101201000021 184001818220 202402000042 404804000084 506005000105 1012010000210 2024020000420