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20242420 = 22511101911
BaseRepresentation
bin100110100110…
…1111111110100
31102002102101021
41031031333310
520140224140
62001510524
7334025542
oct115157764
942072337
1020242420
1110476480
126942444
134269883
14298cd92
151b9cb4a
hex134dff4

20242420 has 48 divisors (see below), whose sum is σ = 46884096. Its totient is φ = 7280000.

The previous prime is 20242373. The next prime is 20242433. The reversal of 20242420 is 2424202.

It is a super-3 number, since 3×202424203 (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20242394 and 20242403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21765 + ... + 22675.

It is an arithmetic number, because the mean of its divisors is an integer number (976752).

Almost surely, 220242420 is an apocalyptic number.

20242420 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 20242420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23442048).

20242420 is an abundant number, since it is smaller than the sum of its proper divisors (26641676).

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

20242420 is a wasteful number, since it uses less digits than its factorization.

20242420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1030 counting only the distinct ones).

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

The square root of 20242420 is about 4499.1576989477. The cubic root of 20242420 is about 272.5340753617.

Adding to 20242420 its reverse (2424202), we get a palindrome (22666622).

It can be divided in two parts, 2024 and 2420, that added together give a palindrome (4444).

The spelling of 20242420 in words is "twenty million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 911 1010 1111 1822 2020 2222 3644 4444 4555 5555 9110 10021 11110 18220 20042 22220 40084 50105 92011 100210 184022 200420 368044 460055 920110 1012121 1840220 2024242 4048484 5060605 10121210 20242420