Search a number
-
+
133717368 = 23361149613
BaseRepresentation
bin1111111100001…
…01110101111000
3100022121112202010
413332011311320
5233212423433
621134005520
73212402361
oct776056570
9308545663
10133717368
1169530924
12389468a0
132191a805
1413a8ab68
15bb14e63
hex7f85d78

133717368 has 64 divisors (see below), whose sum is σ = 342612000. Its totient is φ = 43476480.

The previous prime is 133717361. The next prime is 133717369. The reversal of 133717368 is 863717331.

133717368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133717361) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 217830 + ... + 218442.

Almost surely, 2133717368 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 133717368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171306000).

133717368 is an abundant number, since it is smaller than the sum of its proper divisors (208894632).

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

133717368 is a wasteful number, since it uses less digits than its factorization.

133717368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 828 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 133717368 is about 11563.6226157723. The cubic root of 133717368 is about 511.3629670880.

The spelling of 133717368 in words is "one hundred thirty-three million, seven hundred seventeen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 61 122 149 183 244 298 366 447 488 596 613 732 894 1192 1226 1464 1788 1839 2452 3576 3678 4904 7356 9089 14712 18178 27267 36356 37393 54534 72712 74786 91337 109068 112179 149572 182674 218136 224358 274011 299144 365348 448716 548022 730696 897432 1096044 2192088 5571557 11143114 16714671 22286228 33429342 44572456 66858684 133717368