Search a number
-
+
115350066 = 2321317107271
BaseRepresentation
bin1101110000000…
…01101000110010
322001001101112200
412320001220302
5214012200231
615240204030
72600313366
oct670015062
9261041480
10115350066
115a126237
1232769616
131ab895a0
14114692a6
15a1d7be6
hex6e01a32

115350066 has 96 divisors (see below), whose sum is σ = 288707328. Its totient is φ = 32970240.

The previous prime is 115350043. The next prime is 115350077. The reversal of 115350066 is 660053511.

It is a happy number.

115350066 is a `hidden beast` number, since 1 + 153 + 500 + 6 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 425511 + ... + 425781.

It is an arithmetic number, because the mean of its divisors is an integer number (3007368).

Almost surely, 2115350066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115350066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144353664).

115350066 is an abundant number, since it is smaller than the sum of its proper divisors (173357262).

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

115350066 is a wasteful number, since it uses less digits than its factorization.

115350066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 115350066 is about 10740.1148038557. The cubic root of 115350066 is about 486.7873484621.

The spelling of 115350066 in words is "one hundred fifteen million, three hundred fifty thousand, sixty-six".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 107 117 153 214 221 234 271 306 321 442 542 642 663 813 963 1326 1391 1626 1819 1926 1989 2439 2782 3523 3638 3978 4173 4607 4878 5457 7046 8346 9214 10569 10914 12519 13821 16371 21138 23647 25038 27642 28997 31707 32742 41463 47294 57994 59891 63414 70941 82926 86991 119782 141882 173982 179673 212823 260973 359346 376961 425646 492949 521946 539019 753922 985898 1078038 1130883 1478847 2261766 2957694 3392649 4436541 6408337 6785298 8873082 12816674 19225011 38450022 57675033 115350066