Search a number
-
+
133313576 = 231119711123
BaseRepresentation
bin1111111001000…
…11010000101000
3100021212000211212
413330203100220
5233112013301
621121212252
73206101214
oct774432050
9307760755
10133313576
1169285510
1238791088
1321808a96
14139c3944
15ba854bb
hex7f23428

133313576 has 64 divisors (see below), whose sum is σ = 291340800. Its totient is φ = 56548800.

The previous prime is 133313569. The next prime is 133313597. The reversal of 133313576 is 675313331.

133313576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 118151 + ... + 119273.

It is an arithmetic number, because the mean of its divisors is an integer number (4552200).

Almost surely, 2133313576 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 133313576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145670400).

133313576 is an abundant number, since it is smaller than the sum of its proper divisors (158027224).

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

133313576 is a wasteful number, since it uses less digits than its factorization.

133313576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1226 counting only the distinct ones).

The product of its digits is 17010, while the sum is 32.

The square root of 133313576 is about 11546.1498344686. The cubic root of 133313576 is about 510.8477199644.

The spelling of 133313576 in words is "one hundred thirty-three million, three hundred thirteen thousand, five hundred seventy-six".

Divisors: 1 2 4 8 11 19 22 38 44 71 76 88 142 152 209 284 418 568 781 836 1123 1349 1562 1672 2246 2698 3124 4492 5396 6248 8984 10792 12353 14839 21337 24706 29678 42674 49412 59356 79733 85348 98824 118712 159466 170696 234707 318932 469414 637864 877063 938828 1514927 1754126 1877656 3029854 3508252 6059708 7016504 12119416 16664197 33328394 66656788 133313576