Search a number
-
+
260868276 = 2236137653
BaseRepresentation
bin11111000110010…
…00100010110100
3200011212111000000
433203020202310
51013240241101
641515151300
76315225624
oct1743104264
9604774000
10260868276
11124287219
1273445530
1342079536
1426908884
1517d7e486
hexf8c88b4

260868276 has 84 divisors (see below), whose sum is σ = 690518052. Its totient is φ = 86189184.

The previous prime is 260868263. The next prime is 260868301. The reversal of 260868276 is 672868062.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 105267600 + 155600676 = 10260^2 + 12474^2 .

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 399166 + ... + 399818.

It is an arithmetic number, because the mean of its divisors is an integer number (8220453).

Almost surely, 2260868276 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 260868276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345259026).

260868276 is an abundant number, since it is smaller than the sum of its proper divisors (429649776).

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

260868276 is a wasteful number, since it uses less digits than its factorization.

260868276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 260868276 is about 16151.4171514453. The cubic root of 260868276 is about 638.9601244706.

The spelling of 260868276 in words is "two hundred sixty million, eight hundred sixty-eight thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 137 162 243 274 324 411 486 548 653 729 822 972 1233 1306 1458 1644 1959 2466 2612 2916 3699 3918 4932 5877 7398 7836 11097 11754 14796 17631 22194 23508 33291 35262 44388 52893 66582 70524 89461 99873 105786 133164 158679 178922 199746 211572 268383 317358 357844 399492 476037 536766 634716 805149 952074 1073532 1610298 1904148 2415447 3220596 4830894 7246341 9661788 14492682 21739023 28985364 43478046 65217069 86956092 130434138 260868276