Search a number
-
+
260048200 = 23521936737
BaseRepresentation
bin11111000000000…
…00010101001000
3200010022211001211
433200000111020
51013033020300
641445422504
76305242006
oct1740002510
9603284054
10260048200
11123877075
127310aa34
1341b50199
1426773a76
1517c6b4ba
hexf800548

260048200 has 48 divisors (see below), whose sum is σ = 607834980. Its totient is φ = 103464960.

The previous prime is 260048179. The next prime is 260048203. The reversal of 260048200 is 2840062.

It can be written as a sum of positive squares in 6 ways, for example, as 62758084 + 197290116 = 7922^2 + 14046^2 .

It is not an unprimeable number, because it can be changed into a prime (260048203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35232 + ... + 41968.

Almost surely, 2260048200 is an apocalyptic number.

260048200 is a gapful number since it is divisible by the number (20) 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 260048200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303917490).

260048200 is an abundant number, since it is smaller than the sum of its proper divisors (347786780).

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

260048200 is a wasteful number, since it uses less digits than its factorization.

260048200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6946 (or 6937 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 260048200 is about 16126.0100458855. The cubic root of 260048200 is about 638.2898680525.

Adding to 260048200 its reverse (2840062), we get a palindrome (262888262).

The spelling of 260048200 in words is "two hundred sixty million, forty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 193 200 386 772 965 1544 1930 3860 4825 6737 7720 9650 13474 19300 26948 33685 38600 53896 67370 134740 168425 269480 336850 673700 1300241 1347400 2600482 5200964 6501205 10401928 13002410 26004820 32506025 52009640 65012050 130024100 260048200