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3660680 = 235232173
BaseRepresentation
bin1101111101101110001000
320212222111202
431331232020
51414120210
6210243332
743054352
oct15755610
96788452
103660680
112080361
121286548
139b22aa
146b40d2
154c49a5
hex37db88

3660680 has 48 divisors (see below), whose sum is σ = 8659980. Its totient is φ = 1392512.

The previous prime is 3660677. The next prime is 3660707. The reversal of 3660680 is 860663.

It can be written as a sum of positive squares in 2 ways, for example, as 3556996 + 103684 = 1886^2 + 322^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21074 + ... + 21246.

Almost surely, 23660680 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 3660680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4329990).

3660680 is an abundant number, since it is smaller than the sum of its proper divisors (4999300).

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

3660680 is a wasteful number, since it uses less digits than its factorization.

3660680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 3660680 is about 1913.2903595639. The cubic root of 3660680 is about 154.1181978955.

The spelling of 3660680 in words is "three million, six hundred sixty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 173 184 230 346 460 529 692 865 920 1058 1384 1730 2116 2645 3460 3979 4232 5290 6920 7958 10580 15916 19895 21160 31832 39790 79580 91517 159160 183034 366068 457585 732136 915170 1830340 3660680