Search a number
-
+
133230930 = 235729131167
BaseRepresentation
bin1111111000011…
…11000101010010
3100021200211110220
413330033011102
5233101342210
621115333510
73205305240
oct774170522
9307624426
10133230930
1169229408
1238751296
13217aa291
14139a1790
15ba6ac70
hex7f0f152

133230930 has 128 divisors (see below), whose sum is σ = 383201280. Its totient is φ = 29003520.

The previous prime is 133230919. The next prime is 133230931. The reversal of 133230930 is 39032331.

It is a partition number, being equal to the number of ways a set of 97 identical objects can be partitioned into subset.

It is a self number, because there is not a number n which added to its sum of digits gives 133230930.

It is not an unprimeable number, because it can be changed into a prime (133230931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 797707 + ... + 797873.

It is an arithmetic number, because the mean of its divisors is an integer number (2993760).

Almost surely, 2133230930 is an apocalyptic number.

133230930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133230930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191600640).

133230930 is an abundant number, since it is smaller than the sum of its proper divisors (249970350).

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

133230930 is a wasteful number, since it uses less digits than its factorization.

133230930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344.

The product of its (nonzero) digits is 1458, while the sum is 24.

The square root of 133230930 is about 11542.5703376674. The cubic root of 133230930 is about 510.7421336983.

The spelling of 133230930 in words is "one hundred thirty-three million, two hundred thirty thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 131 145 167 174 203 210 262 290 334 393 406 435 501 609 655 786 835 870 917 1002 1015 1169 1218 1310 1670 1834 1965 2030 2338 2505 2751 3045 3507 3799 3930 4585 4843 5010 5502 5845 6090 7014 7598 9170 9686 11397 11690 13755 14529 17535 18995 21877 22794 24215 26593 27510 29058 33901 35070 37990 43754 48430 53186 56985 65631 67802 72645 79779 101703 109385 113970 131262 132965 145290 153139 159558 169505 203406 218770 265930 306278 328155 339010 398895 459417 508515 634433 656310 765695 797790 918834 1017030 1268866 1531390 1903299 2297085 3172165 3806598 4441031 4594170 6344330 8882062 9516495 13323093 19032990 22205155 26646186 44410310 66615465 133230930