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133240008 = 2331119101263
BaseRepresentation
bin1111111000100…
…01010011001000
3100021201021221010
413330101103020
5233102140013
621115443520
73205343556
oct774212310
9307637833
10133240008
1169235210
12387565a0
13217b1455
14139a4bd6
15ba6d7c3
hex7f114c8

133240008 has 128 divisors (see below), whose sum is σ = 387763200. Its totient is φ = 37728000.

The previous prime is 133239991. The next prime is 133240021. The reversal of 133240008 is 800042331.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 506485 + ... + 506747.

It is an arithmetic number, because the mean of its divisors is an integer number (3029400).

Almost surely, 2133240008 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 133240008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193881600).

133240008 is an abundant number, since it is smaller than the sum of its proper divisors (254523192).

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

133240008 is a wasteful number, since it uses less digits than its factorization.

133240008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 133240008 is about 11542.9635709379. The cubic root of 133240008 is about 510.7537336368.

Adding to 133240008 its reverse (800042331), we get a palindrome (933282339).

The spelling of 133240008 in words is "one hundred thirty-three million, two hundred forty thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 101 114 132 152 202 209 228 263 264 303 404 418 456 526 606 627 789 808 836 1052 1111 1212 1254 1578 1672 1919 2104 2222 2424 2508 2893 3156 3333 3838 4444 4997 5016 5757 5786 6312 6666 7676 8679 8888 9994 11514 11572 13332 14991 15352 17358 19988 21109 23028 23144 26563 26664 29982 34716 39976 42218 46056 53126 54967 59964 63327 69432 79689 84436 106252 109934 119928 126654 159378 164901 168872 212504 219868 253308 292193 318756 329802 439736 504697 506616 584386 637512 659604 876579 1009394 1168772 1319208 1514091 1753158 2018788 2337544 3028182 3506316 4037576 5551667 6056364 7012632 11103334 12112728 16655001 22206668 33310002 44413336 66620004 133240008