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9966060 = 22325134259
BaseRepresentation
bin100110000001…
…000111101100
3200202022212100
4212001013230
510022403220
6553335100
7150465366
oct46010754
920668770
109966060
115697715
123407490
1320ac2a0
141475d36
15d1cd90
hex9811ec

9966060 has 72 divisors (see below), whose sum is σ = 32563440. Its totient is φ = 2452608.

The previous prime is 9966037. The next prime is 9966091. The reversal of 9966060 is 606699.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211 + ... + 4469.

It is an arithmetic number, because the mean of its divisors is an integer number (452270).

Almost surely, 29966060 is an apocalyptic number.

9966060 is a gapful number since it is divisible by the number (90) 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 9966060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16281720).

9966060 is an abundant number, since it is smaller than the sum of its proper divisors (22597380).

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

9966060 is a wasteful number, since it uses less digits than its factorization.

9966060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4287 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 9966060 is about 3156.9067138577. The cubic root of 9966060 is about 215.1994543548.

It can be divided in two parts, 996 and 6060, that added together give a square (7056 = 842).

The spelling of 9966060 in words is "nine million, nine hundred sixty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 4259 8518 12777 17036 21295 25554 38331 42590 51108 55367 63885 76662 85180 110734 127770 153324 166101 191655 221468 255540 276835 332202 383310 498303 553670 664404 766620 830505 996606 1107340 1661010 1993212 2491515 3322020 4983030 9966060