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6820002 = 2327113479
BaseRepresentation
bin11010000001000010100010
3110211111021200
4122001002202
53221220002
6402102030
7111653250
oct32010242
913744250
106820002
113938a72
12234a916
13154a307
14c975d0
158eab1c
hex6810a2

6820002 has 48 divisors (see below), whose sum is σ = 17072640. Its totient is φ = 1927296.

The previous prime is 6820001. The next prime is 6820007. The reversal of 6820002 is 2000286.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (6820001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13999 + ... + 14477.

It is an arithmetic number, because the mean of its divisors is an integer number (355680).

Almost surely, 26820002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6820002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8536320).

6820002 is an abundant number, since it is smaller than the sum of its proper divisors (10252638).

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

6820002 is a wasteful number, since it uses less digits than its factorization.

6820002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 6820002 is about 2611.5133543599. The cubic root of 6820002 is about 189.6392230448.

Adding to 6820002 its reverse (2000286), we get a palindrome (8820288).

The spelling of 6820002 in words is "six million, eight hundred twenty thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 113 126 226 339 479 678 791 958 1017 1437 1582 2034 2373 2874 3353 4311 4746 6706 7119 8622 10059 14238 20118 30177 54127 60354 108254 162381 324762 378889 487143 757778 974286 1136667 2273334 3410001 6820002