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133640034 = 23111927179
BaseRepresentation
bin1111111011100…
…10111101100010
3100022110121122220
413331302331202
5233202440114
621132211510
73211631043
oct775627542
9308417586
10133640034
1169488810
1238909b96
13218c1558
1413a6a8ca
15baec0a9
hex7f72f62

133640034 has 96 divisors (see below), whose sum is σ = 316016640. Its totient is φ = 37346400.

The previous prime is 133640029. The next prime is 133640057. The reversal of 133640034 is 430046331.

It is a junction number, because it is equal to n+sod(n) for n = 133639986 and 133640013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1691607 + ... + 1691685.

It is an arithmetic number, because the mean of its divisors is an integer number (3291840).

Almost surely, 2133640034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133640034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158008320).

133640034 is an abundant number, since it is smaller than the sum of its proper divisors (182376606).

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

133640034 is a wasteful number, since it uses less digits than its factorization.

133640034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 133640034 is about 11560.2782838477. The cubic root of 133640034 is about 511.2643676556.

Adding to 133640034 its reverse (430046331), we get a palindrome (563686365).

The spelling of 133640034 in words is "one hundred thirty-three million, six hundred forty thousand, thirty-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 71 79 114 142 158 209 213 237 361 418 426 474 627 722 781 869 1083 1254 1349 1501 1562 1738 2166 2343 2607 2698 3002 3971 4047 4503 4686 5214 5609 7942 8094 9006 11218 11913 14839 16511 16827 23826 25631 28519 29678 33022 33654 44517 49533 51262 57038 61699 76893 85557 89034 99066 106571 123398 153786 171114 185097 213142 281941 313709 319713 370194 563882 627418 639426 845823 941127 1172281 1691646 1882254 2024849 2344562 3516843 4049698 6074547 7033686 12149094 22273339 44546678 66820017 133640034