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6421064 = 2313292129
BaseRepresentation
bin11000011111101001001000
3110002020001012
4120133221020
53120433224
6345343052
7105402206
oct30375110
913066035
106421064
113696271
122197a88
13143a860
14bd2076
1586c80e
hex61fa48

6421064 has 32 divisors (see below), whose sum is σ = 13419000. Its totient is φ = 2860032.

The previous prime is 6421049. The next prime is 6421067. The reversal of 6421064 is 4601246.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3724900 + 2696164 = 1930^2 + 1642^2 .

It is not an unprimeable number, because it can be changed into a prime (6421067) 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 7 ways as a sum of consecutive naturals, for example, 1952 + ... + 4080.

Almost surely, 26421064 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 6421064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6709500).

6421064 is an abundant number, since it is smaller than the sum of its proper divisors (6997936).

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

6421064 is a wasteful number, since it uses less digits than its factorization.

6421064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 6421064 is about 2533.9818468174. The cubic root of 6421064 is about 185.8670186791.

The spelling of 6421064 in words is "six million, four hundred twenty-one thousand, sixty-four".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 754 1508 2129 3016 4258 8516 17032 27677 55354 61741 110708 123482 221416 246964 493928 802633 1605266 3210532 6421064