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20202041420 = 22511213196329
BaseRepresentation
bin10010110100001000…
…101011000001001100
31221010220201000222022
4102310020223001030
5312333210311140
613140343505312
71313424342641
oct226410530114
957126630868
1020202041420
118627586800
123ab9758238
131b9c4c8182
14d99079dc8
157d387a0b5
hex4b422b04c

20202041420 has 72 divisors (see below), whose sum is σ = 46674381600. Its totient is φ = 7339467520.

The previous prime is 20202041413. The next prime is 20202041423. The reversal of 20202041420 is 2414020202.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20202041423) 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 23 ways as a sum of consecutive naturals, for example, 3188816 + ... + 3195144.

It is an arithmetic number, because the mean of its divisors is an integer number (648255300).

Almost surely, 220202041420 is an apocalyptic number.

20202041420 is a gapful number since it is divisible by the number (20) 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 20202041420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23337190800).

20202041420 is an abundant number, since it is smaller than the sum of its proper divisors (26472340180).

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

20202041420 is a wasteful number, since it uses less digits than its factorization.

20202041420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7679 (or 7666 counting only the distinct ones).

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

Adding to 20202041420 its reverse (2414020202), we get a palindrome (22616061622).

The spelling of 20202041420 in words is "twenty billion, two hundred two million, forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1319 2420 2638 5276 6329 6595 12658 13190 14509 25316 26380 29018 31645 58036 63290 69619 72545 126580 139238 145090 159599 278476 290180 319198 348095 638396 696190 765809 797995 1392380 1531618 1595990 3063236 3191980 3829045 7658090 8347951 15316180 16695902 33391804 41739755 83479510 91827461 166959020 183654922 367309844 459137305 918274610 1010102071 1836549220 2020204142 4040408284 5050510355 10101020710 20202041420