Search a number
-
+
260106714 = 2357101757
BaseRepresentation
bin11111000000011…
…10100111011010
3200010102210100000
433200032213122
51013041403324
641450553430
76305604420
oct1740164732
9603383300
10260106714
1112390702a
1273138876
1341b709ca
142678b110
1517c7d9c9
hexf80e9da

260106714 has 96 divisors (see below), whose sum is σ = 675432576. Its totient is φ = 73483200.

The previous prime is 260106697. The next prime is 260106719. The reversal of 260106714 is 417601062.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (260106719) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343224 + ... + 343980.

It is an arithmetic number, because the mean of its divisors is an integer number (7035756).

Almost surely, 2260106714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260106714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337716288).

260106714 is an abundant number, since it is smaller than the sum of its proper divisors (415325862).

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

260106714 is a wasteful number, since it uses less digits than its factorization.

260106714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 260106714 is about 16127.8242177921. The cubic root of 260106714 is about 638.3377387836.

Adding to 260106714 its reverse (417601062), we get a palindrome (677707776).

The spelling of 260106714 in words is "two hundred sixty million, one hundred six thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 101 126 162 189 202 243 303 378 486 567 606 707 757 909 1134 1414 1514 1701 1818 2121 2271 2727 3402 4242 4542 5299 5454 6363 6813 8181 10598 12726 13626 15897 16362 19089 20439 24543 31794 38178 40878 47691 49086 57267 61317 76457 95382 114534 122634 143073 152914 171801 183951 229371 286146 343602 367902 429219 458742 535199 688113 858438 1070398 1287657 1376226 1605597 2064339 2575314 3211194 4128678 4816791 6193017 9633582 12386034 14450373 18579051 28900746 37158102 43351119 86702238 130053357 260106714