Search a number
-
+
260648868 = 223293137653
BaseRepresentation
bin11111000100100…
…10111110100100
3200011110100000210
433202102332210
51013211230433
641510335420
76313323144
oct1742227644
9604410023
10260648868
11124147397
127335a570
13420006cc
142688c924
1517d39463
hexf892fa4

260648868 has 96 divisors (see below), whose sum is σ = 668021760. Its totient is φ = 78865920.

The previous prime is 260648863. The next prime is 260648917. The reversal of 260648868 is 868846062.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (260648863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 398830 + ... + 399482.

It is an arithmetic number, because the mean of its divisors is an integer number (6958560).

Almost surely, 2260648868 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 260648868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334010880).

260648868 is an abundant number, since it is smaller than the sum of its proper divisors (407372892).

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

260648868 is a wasteful number, since it uses less digits than its factorization.

260648868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 260648868 is about 16144.6235013394. The cubic root of 260648868 is about 638.7809378872.

The spelling of 260648868 in words is "two hundred sixty million, six hundred forty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 29 31 37 58 62 74 87 93 111 116 124 148 174 186 222 348 372 444 653 899 1073 1147 1306 1798 1959 2146 2294 2612 2697 3219 3441 3596 3918 4292 4588 5394 6438 6882 7836 10788 12876 13764 18937 20243 24161 33263 37874 40486 48322 56811 60729 66526 72483 75748 80972 96644 99789 113622 121458 133052 144966 199578 227244 242916 289932 399156 587047 700669 748991 1174094 1401338 1497982 1761141 2102007 2246973 2348188 2802676 2995964 3522282 4204014 4493946 7044564 8408028 8987892 21720739 43441478 65162217 86882956 130324434 260648868