Search a number
-
+
248065560 = 23325689071
BaseRepresentation
bin11101100100100…
…10111000011000
3122021210000222100
432302102320120
51002001044220
640340523400
76101344131
oct1662227030
9567700870
10248065560
11118032366
126b0b0560
133c516072
1424d34c88
1516ba0d90
hexec92e18

248065560 has 48 divisors (see below), whose sum is σ = 806214240. Its totient is φ = 66150720.

The previous prime is 248065553. The next prime is 248065561. The reversal of 248065560 is 65560842.

248065560 is a `hidden beast` number, since 24 + 80 + 6 + 556 + 0 = 666.

It is a super-2 number, since 2×2480655602 = 123073044116227200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248065561) by changing a digit.

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, 344176 + ... + 344895.

It is an arithmetic number, because the mean of its divisors is an integer number (16796130).

Almost surely, 2248065560 is an apocalyptic number.

248065560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248065560 is an abundant number, since it is smaller than the sum of its proper divisors (558148680).

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

248065560 is a wasteful number, since it uses less digits than its factorization.

248065560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689088 (or 689081 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 248065560 is about 15750.0971425576. The cubic root of 248065560 is about 628.3314882122.

The spelling of 248065560 in words is "two hundred forty-eight million, sixty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 689071 1378142 2067213 2756284 3445355 4134426 5512568 6201639 6890710 8268852 10336065 12403278 13781420 16537704 20672130 24806556 27562840 31008195 41344260 49613112 62016390 82688520 124032780 248065560