Search a number
-
+
6561160 = 235612689
BaseRepresentation
bin11001000001110110001000
3110100100012221
4121001312020
53134424120
6352343424
7106524514
oct31016610
913310187
106561160
113781551
122244b74
131489558
14c2b144
158990aa
hex641d88

6561160 has 32 divisors (see below), whose sum is σ = 15010200. Its totient is φ = 2580480.

The previous prime is 6561151. The next prime is 6561161. The reversal of 6561160 is 611656.

It can be written as a sum of positive squares in 4 ways, for example, as 1552516 + 5008644 = 1246^2 + 2238^2 .

It is not an unprimeable number, because it can be changed into a prime (6561161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1096 + ... + 3784.

Almost surely, 26561160 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 6561160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7505100).

6561160 is an abundant number, since it is smaller than the sum of its proper divisors (8449040).

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

6561160 is a wasteful number, since it uses less digits than its factorization.

6561160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 6561160 is about 2561.4761369179. The cubic root of 6561160 is about 187.2090658429.

The spelling of 6561160 in words is "six million, five hundred sixty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 2689 5378 10756 13445 21512 26890 53780 107560 164029 328058 656116 820145 1312232 1640290 3280580 6561160