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6406660 = 2251341601
BaseRepresentation
bin11000011100001000000100
3110001111021201
4120130020010
53120003120
6345152244
7105312211
oct30341004
913044251
106406660
113686467
12218b684
131434130
14bcab08
1586840a
hex61c204

6406660 has 48 divisors (see below), whose sum is σ = 14866992. Its totient is φ = 2304000.

The previous prime is 6406657. The next prime is 6406679. The reversal of 6406660 is 666046.

It can be written as a sum of positive squares in 8 ways, for example, as 799236 + 5607424 = 894^2 + 2368^2 .

It is an Ulam number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10360 + ... + 10960.

It is an arithmetic number, because the mean of its divisors is an integer number (309729).

Almost surely, 26406660 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 6406660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7433496).

6406660 is an abundant number, since it is smaller than the sum of its proper divisors (8460332).

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

6406660 is a wasteful number, since it uses less digits than its factorization.

6406660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 6406660 is about 2531.1380839456. The cubic root of 6406660 is about 185.7279330630.

The spelling of 6406660 in words is "six million, four hundred six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 601 820 1066 1202 2132 2404 2665 3005 5330 6010 7813 10660 12020 15626 24641 31252 39065 49282 78130 98564 123205 156260 246410 320333 492820 640666 1281332 1601665 3203330 6406660