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6630660 = 223454093
BaseRepresentation
bin11001010010110100000100
3110110212120000
4121102310010
53144140120
6354041300
7110234241
oct31226404
913425500
106630660
113819793
122279230
1314b208a
14c485c8
158ae990
hex652d04

6630660 has 60 divisors (see below), whose sum is σ = 20805708. Its totient is φ = 1767744.

The previous prime is 6630653. The next prime is 6630661. The reversal of 6630660 is 660366.

It can be written as a sum of positive squares in 2 ways, for example, as 2566404 + 4064256 = 1602^2 + 2016^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6630661) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 427 + ... + 3666.

Almost surely, 26630660 is an apocalyptic number.

6630660 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6630660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10402854).

6630660 is an abundant number, since it is smaller than the sum of its proper divisors (14175048).

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

6630660 is a wasteful number, since it uses less digits than its factorization.

6630660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 6630660 is about 2575.0067961075. The cubic root of 6630660 is about 187.8677582158.

It can be divided in two parts, 66306 and 60, that added together give a palindrome (66366).

The spelling of 6630660 in words is "six million, six hundred thirty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 4093 8186 12279 16372 20465 24558 36837 40930 49116 61395 73674 81860 110511 122790 147348 184185 221022 245580 331533 368370 442044 552555 663066 736740 1105110 1326132 1657665 2210220 3315330 6630660