Search a number
-
+
133089500 = 22532371163
BaseRepresentation
bin1111110111011…
…00100011011100
3100021102122110202
413323230203130
5233032331000
621112323032
73204146015
oct773544334
9307378422
10133089500
1169142125
12386a3478
132175aaab
141396600c
15ba3ddd5
hex7eec8dc

133089500 has 96 divisors (see below), whose sum is σ = 309464064. Its totient is φ = 49896000.

The previous prime is 133089461. The next prime is 133089511. The reversal of 133089500 is 5980331.

133089500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Together with 176374564 it forms an amicable pair .

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 816419 + ... + 816581.

It is an arithmetic number, because the mean of its divisors is an integer number (3223584).

Almost surely, 2133089500 is an apocalyptic number.

133089500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133089500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154732032).

133089500 is an abundant number, since it is smaller than the sum of its proper divisors (176374564).

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

133089500 is a wasteful number, since it uses less digits than its factorization.

133089500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 133089500 is about 11536.4422592063. The cubic root of 133089500 is about 510.5613452609.

The spelling of 133089500 in words is "one hundred thirty-three million, eighty-nine thousand, five hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 71 92 100 115 125 142 163 230 250 284 326 355 460 500 575 652 710 815 1150 1420 1630 1633 1775 2300 2875 3260 3266 3550 3749 4075 5750 6532 7100 7498 8150 8165 8875 11500 11573 14996 16300 16330 17750 18745 20375 23146 32660 35500 37490 40750 40825 46292 57865 74980 81500 81650 93725 115730 163300 187450 204125 231460 266179 289325 374900 408250 468625 532358 578650 816500 937250 1064716 1157300 1330895 1446625 1874500 2661790 2893250 5323580 5786500 6654475 13308950 26617900 33272375 66544750 133089500