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6300020 = 2251959281
BaseRepresentation
bin11000000010000101110100
3102212002000002
4120002011310
53103100040
6343010432
7104356256
oct30020564
912762002
106300020
113613331
122139a18
1313c772c
14b9dcd6
15846a15
hex602174

6300020 has 48 divisors (see below), whose sum is σ = 14212800. Its totient is φ = 2338560.

The previous prime is 6300017. The next prime is 6300023. The reversal of 6300020 is 200036.

6300020 = T51 + T52 + ... + T335.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6300017) and next prime (6300023).

It is a junction number, because it is equal to n+sod(n) for n = 6299974 and 6300010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6300023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22280 + ... + 22560.

It is an arithmetic number, because the mean of its divisors is an integer number (296100).

Almost surely, 26300020 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 6300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7106400).

6300020 is an abundant number, since it is smaller than the sum of its proper divisors (7912780).

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

6300020 is a wasteful number, since it uses less digits than its factorization.

6300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 6300020 is about 2509.9840636944. The cubic root of 6300020 is about 184.6916704853.

Adding to 6300020 its reverse (200036), we get a palindrome (6500056).

The spelling of 6300020 in words is "six million, three hundred thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 59 76 95 118 190 236 281 295 380 562 590 1121 1124 1180 1405 2242 2810 4484 5339 5605 5620 10678 11210 16579 21356 22420 26695 33158 53390 66316 82895 106780 165790 315001 331580 630002 1260004 1575005 3150010 6300020