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666060660 = 2232510136637
BaseRepresentation
bin100111101100110…
…100011101110100
31201102022101110100
4213230310131310
52331002420120
6150031554100
722335264546
oct4754643564
91642271410
10666060660
11311a79261
1216708b930
13a7cb8345
1464661696
153d71b490
hex27b34774

666060660 has 72 divisors (see below), whose sum is σ = 2040443496. Its totient is φ = 175852800.

The previous prime is 666060631. The next prime is 666060677. The reversal of 666060660 is 66060666.

It can be written as a sum of positive squares in 4 ways, for example, as 176943204 + 489117456 = 13302^2 + 22116^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139 + ... + 36498.

It is an arithmetic number, because the mean of its divisors is an integer number (28339493).

Almost surely, 2666060660 is an apocalyptic number.

666060660 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 666060660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020221748).

666060660 is an abundant number, since it is smaller than the sum of its proper divisors (1374382836).

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

666060660 is a wasteful number, since it uses less digits than its factorization.

666060660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36753 (or 36748 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 666060660 is about 25808.1510379957. The cubic root of 666060660 is about 873.3156866987.

It can be divided in two parts, 6660606 and 60, that added together give a palindrome (6660666).

The spelling of 666060660 in words is "six hundred sixty-six million, sixty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 36637 73274 109911 146548 183185 219822 329733 366370 439644 549555 659466 732740 1099110 1318932 1648665 2198220 3297330 3700337 6594660 7400674 11101011 14801348 18501685 22202022 33303033 37003370 44404044 55505055 66606066 74006740 111010110 133212132 166515165 222020220 333030330 666060660