Search a number
-
+
135984786 = 237192331239
BaseRepresentation
bin10000001101011…
…11011010010010
3100110212202001120
420012233122102
5234303003121
621254343110
73240565050
oct1006573222
9313782046
10135984786
116a83a423
123965aa96
1322232892
14140bb1d0
15be11bc6
hex81af692

135984786 has 128 divisors (see below), whose sum is σ = 353894400. Its totient is φ = 33929280.

The previous prime is 135984781. The next prime is 135984841. The reversal of 135984786 is 687489531.

135984786 is a nontrivial binomial coefficient, being equal to C(16492, 2).

Its product of digits (1451520) is a multiple of the sum of its prime divisors (324).

It is not an unprimeable number, because it can be changed into a prime (135984781) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 568855 + ... + 569093.

It is an arithmetic number, because the mean of its divisors is an integer number (2764800).

Almost surely, 2135984786 is an apocalyptic number.

135984786 is the 16491-st triangular number and also the 8246-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135984786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176947200).

135984786 is an abundant number, since it is smaller than the sum of its proper divisors (217909614).

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

135984786 is a wasteful number, since it uses less digits than its factorization.

135984786 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324.

The product of its digits is 1451520, while the sum is 51.

The square root of 135984786 is about 11661.2514765783. The cubic root of 135984786 is about 514.2371412018.

The spelling of 135984786 in words is "one hundred thirty-five million, nine hundred eighty-four thousand, seven hundred eighty-six".

Divisors: 1 2 3 6 7 14 19 21 23 31 38 42 46 57 62 69 93 114 133 138 161 186 217 239 266 322 399 434 437 478 483 589 651 713 717 798 874 966 1178 1302 1311 1426 1434 1673 1767 2139 2622 3059 3346 3534 4123 4278 4541 4991 5019 5497 6118 7409 8246 9082 9177 9982 10038 10994 12369 13547 13623 14818 14973 16491 18354 22227 24738 27094 27246 29946 31787 32982 38479 40641 44454 51863 63574 76958 81282 94829 95361 103726 104443 115437 140771 155589 170407 189658 190722 208886 230874 281542 284487 311178 313329 340814 422313 511221 568974 626658 731101 844626 985397 1022442 1192849 1462202 1970794 2193303 2385698 2956191 3237733 3578547 4386606 5912382 6475466 7157094 9713199 19426398 22664131 45328262 67992393 135984786