Search a number
-
+
5020020 = 223251672
BaseRepresentation
bin10011001001100101110100
3100110001011200
4103021211310
52241120040
6255332500
760445425
oct23114564
910401150
105020020
112919685
121821130
131069c35
1494964c
15692630
hex4c9974

5020020 has 54 divisors (see below), whose sum is σ = 15319122. Its totient is φ = 1330656.

The previous prime is 5020019. The next prime is 5020021. The reversal of 5020020 is 200205.

It is an interprime number because it is at equal distance from previous prime (5020019) and next prime (5020021).

It can be written as a sum of positive squares in only one way, i.e., 4016016 + 1004004 = 2004^2 + 1002^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 5019984 and 5020011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5020021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29977 + ... + 30143.

Almost surely, 25020020 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 5020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7659561).

5020020 is an abundant number, since it is smaller than the sum of its proper divisors (10299102).

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

5020020 is a wasteful number, since it uses less digits than its factorization.

5020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 5020020 is about 2240.5401134548. The cubic root of 5020020 is about 171.2255155291.

Multiplying 5020020 by its product of nonzero digits (20), we get a square (100400400 = 100202).

5020020 divided by its product of nonzero digits (20) gives a square (251001 = 5012).

Adding to 5020020 its reverse (200205), we get a palindrome (5220225).

The spelling of 5020020 in words is "five million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 167 180 334 501 668 835 1002 1503 1670 2004 2505 3006 3340 5010 6012 7515 10020 15030 27889 30060 55778 83667 111556 139445 167334 251001 278890 334668 418335 502002 557780 836670 1004004 1255005 1673340 2510010 5020020