Search a number
-
+
260896950 = 23552109197
BaseRepresentation
bin11111000110011…
…11100010110110
3200011220221100000
433203033202312
51013242200300
641515532130
76315405336
oct1743174266
9604827300
10260896950
111242a6816
127345a046
13420895c2
14269150c6
1517d87c00
hexf8cf8b6

260896950 has 144 divisors (see below), whose sum is σ = 737296560. Its totient is φ = 68584320.

The previous prime is 260896949. The next prime is 260896991. The reversal of 260896950 is 59698062.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 260896896 and 260896905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1324252 + ... + 1324448.

It is an arithmetic number, because the mean of its divisors is an integer number (5120115).

Almost surely, 2260896950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260896950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368648280).

260896950 is an abundant number, since it is smaller than the sum of its proper divisors (476399610).

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

260896950 is a wasteful number, since it uses less digits than its factorization.

260896950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 260896950 is about 16152.3047891005. The cubic root of 260896950 is about 638.9835345886.

The spelling of 260896950 in words is "two hundred sixty million, eight hundred ninety-six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 109 135 150 162 197 218 225 243 270 327 394 405 450 486 545 591 654 675 810 981 985 1090 1182 1215 1350 1635 1773 1962 1970 2025 2430 2725 2943 2955 3270 3546 4050 4905 4925 5319 5450 5886 5910 6075 8175 8829 8865 9810 9850 10638 12150 14715 14775 15957 16350 17658 17730 21473 24525 26487 26595 29430 29550 31914 42946 44145 44325 47871 49050 52974 53190 64419 73575 79785 88290 88650 95742 107365 128838 132435 132975 147150 159570 193257 214730 220725 239355 264870 265950 322095 386514 398925 441450 478710 536825 579771 644190 662175 797850 966285 1073650 1159542 1196775 1324350 1610475 1739313 1932570 2393550 2898855 3220950 3478626 4831425 5217939 5797710 8696565 9662850 10435878 14494275 17393130 26089695 28988550 43482825 52179390 86965650 130448475 260896950