Search a number
-
+
260117260 = 225135631777
BaseRepresentation
bin11111000000100…
…01001100001100
3200010110022210121
433200101030030
51013042223020
641451114324
76305650234
oct1740211414
9603408717
10260117260
11123913a47
12731429a4
1341b75750
1426790cc4
1517c81baa
hexf81130c

260117260 has 48 divisors (see below), whose sum is σ = 589641696. Its totient is φ = 95818752.

The previous prime is 260117183. The next prime is 260117261. The reversal of 260117260 is 62711062.

It is not an unprimeable number, because it can be changed into a prime (260117261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145492 + ... + 147268.

It is an arithmetic number, because the mean of its divisors is an integer number (12284202).

Almost surely, 2260117260 is an apocalyptic number.

260117260 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 260117260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294820848).

260117260 is an abundant number, since it is smaller than the sum of its proper divisors (329524436).

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

260117260 is a wasteful number, since it uses less digits than its factorization.

260117260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 260117260 is about 16128.1511649662. The cubic root of 260117260 is about 638.3463657797.

The spelling of 260117260 in words is "two hundred sixty million, one hundred seventeen thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 563 1126 1777 2252 2815 3554 5630 7108 7319 8885 11260 14638 17770 23101 29276 35540 36595 46202 73190 92404 115505 146380 231010 462020 1000451 2000902 4001804 5002255 10004510 13005863 20009020 26011726 52023452 65029315 130058630 260117260