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62420020 = 225131012377
BaseRepresentation
bin1110111000011…
…1010000110100
311100110021011121
43232013100310
5111434420040
610105513324
71355363365
oct356072064
9140407147
1062420020
11322640a3
1218aa2844
13cc16630
14840bb6c
15572ec4a
hex3b87434

62420020 has 48 divisors (see below), whose sum is σ = 142622928. Its totient is φ = 22809600.

The previous prime is 62420009. The next prime is 62420021. The reversal of 62420020 is 2002426.

62420020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 41616 + 62378404 = 204^2 + 7898^2 .

It is a junction number, because it is equal to n+sod(n) for n = 62419976 and 62420003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62420021) 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 15 ways as a sum of consecutive naturals, for example, 25072 + ... + 27448.

It is an arithmetic number, because the mean of its divisors is an integer number (2971311).

Almost surely, 262420020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62420020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71311464).

62420020 is an abundant number, since it is smaller than the sum of its proper divisors (80202908).

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

62420020 is a wasteful number, since it uses less digits than its factorization.

62420020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 62420020 is about 7900.6341517628. The cubic root of 62420020 is about 396.6809102842.

Adding to 62420020 its reverse (2002426), we get a palindrome (64422446).

The spelling of 62420020 in words is "sixty-two million, four hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 1010 1313 2020 2377 2626 4754 5252 6565 9508 11885 13130 23770 26260 30901 47540 61802 123604 154505 240077 309010 480154 618020 960308 1200385 2400770 3121001 4801540 6242002 12484004 15605005 31210010 62420020