Search a number
-
+
133205982 = 2371317113127
BaseRepresentation
bin1111111000010…
…00111111011110
3100021122120020220
413330020333132
5233100042412
621115022210
73205142430
oct774107736
9307576226
10133205982
1169211698
123873a966
132179bb10
1413996650
15ba6368c
hex7f08fde

133205982 has 128 divisors (see below), whose sum is σ = 353009664. Its totient is φ = 32514048.

The previous prime is 133205911. The next prime is 133206043. The reversal of 133205982 is 289502331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1048803 + ... + 1048929.

It is an arithmetic number, because the mean of its divisors is an integer number (2757888).

Almost surely, 2133205982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133205982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176504832).

133205982 is an abundant number, since it is smaller than the sum of its proper divisors (219803682).

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

133205982 is a wasteful number, since it uses less digits than its factorization.

133205982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 133205982 is about 11541.4895919028. The cubic root of 133205982 is about 510.7102522371.

The spelling of 133205982 in words is "one hundred thirty-three million, two hundred five thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 113 119 127 182 221 226 238 254 273 339 357 381 442 546 663 678 714 762 791 889 1326 1469 1547 1582 1651 1778 1921 2159 2373 2667 2938 3094 3302 3842 4318 4407 4641 4746 4953 5334 5763 6477 8814 9282 9906 10283 11526 11557 12954 13447 14351 15113 20566 23114 24973 26894 28067 28702 30226 30849 34671 40341 43053 45339 49946 56134 61698 69342 74919 80682 84201 86106 90678 100457 149838 168402 174811 186563 196469 200914 243967 301371 349622 373126 392938 487934 524433 559689 589407 602742 731901 1048866 1119378 1178814 1305941 1463802 1707769 2611882 3171571 3415538 3917823 5123307 6343142 7835646 9514713 10246614 19029426 22200997 44401994 66602991 133205982