Search a number
-
+
260122896 = 243211214929
BaseRepresentation
bin11111000000100…
…10100100010000
3200010110121112100
433200102210100
51013042413041
641451200400
76306002535
oct1740224420
9603417470
10260122896
11123918200
1273146100
1341b78197
1426792d8c
1517c836b6
hexf812910

260122896 has 90 divisors (see below), whose sum is σ = 800233070. Its totient is φ = 78819840.

The previous prime is 260122879. The next prime is 260122897. The reversal of 260122896 is 698221062.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 250905600 + 9217296 = 15840^2 + 3036^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 260122896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260122897) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9960 + ... + 24888.

Almost surely, 2260122896 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 260122896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400116535).

260122896 is an abundant number, since it is smaller than the sum of its proper divisors (540110174).

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

260122896 is a wasteful number, since it uses less digits than its factorization.

260122896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14965 (or 14945 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 260122896 is about 16128.3258895646. The cubic root of 260122896 is about 638.3509761288.

The spelling of 260122896 in words is "two hundred sixty million, one hundred twenty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 5808 8712 14929 17424 29858 44787 59716 89574 119432 134361 164219 179148 238864 268722 328438 358296 492657 537444 656876 716592 985314 1074888 1313752 1477971 1806409 1970628 2149776 2627504 2955942 3612818 3941256 5419227 5911884 7225636 7882512 10838454 11823768 14451272 16257681 21676908 23647536 28902544 32515362 43353816 65030724 86707632 130061448 260122896