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6420036 = 2237233323
BaseRepresentation
bin11000011111011001000100
3110002011122010
4120133121010
53120420121
6345334220
7105366210
oct30373104
913064563
106420036
113695517
122197370
13143a24c
14bd1940
1586c376
hex61f644

6420036 has 48 divisors (see below), whose sum is σ = 17869824. Its totient is φ = 1754016.

The previous prime is 6420031. The next prime is 6420041. The reversal of 6420036 is 6300246.

It is an interprime number because it is at equal distance from previous prime (6420031) and next prime (6420041).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 6419994 and 6420021.

It is not an unprimeable number, because it can be changed into a prime (6420031) 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 15 ways as a sum of consecutive naturals, for example, 271 + ... + 3593.

It is an arithmetic number, because the mean of its divisors is an integer number (372288).

Almost surely, 26420036 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 6420036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8934912).

6420036 is an abundant number, since it is smaller than the sum of its proper divisors (11449788).

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

6420036 is a wasteful number, since it uses less digits than its factorization.

6420036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3360 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 6420036 is about 2533.7789958874. The cubic root of 6420036 is about 185.8570991656.

It can be divided in two parts, 64 and 20036, that added together give a triangular number (20100 = T200).

The spelling of 6420036 in words is "six million, four hundred twenty thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1932 3323 6646 9969 13292 19938 23261 39876 46522 69783 76429 93044 139566 152858 229287 279132 305716 458574 535003 917148 1070006 1605009 2140012 3210018 6420036