Search a number
-
+
133528230 = 23351144959
BaseRepresentation
bin1111111010101…
…11101010100110
3100022020221022000
413331113222212
5233140400410
621125550130
73210654063
oct775275246
9308227260
10133528230
1169411810
1238875346
13218826b4
1413a3bc6a
15bac8dc0
hex7f57aa6

133528230 has 64 divisors (see below), whose sum is σ = 388454400. Its totient is φ = 32369760.

The previous prime is 133528223. The next prime is 133528231. The reversal of 133528230 is 32825331.

133528230 is a `hidden beast` number, since 133 + 528 + 2 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 133528194 and 133528203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133528231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19510 + ... + 25449.

It is an arithmetic number, because the mean of its divisors is an integer number (6069600).

Almost surely, 2133528230 is an apocalyptic number.

133528230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133528230 is an abundant number, since it is smaller than the sum of its proper divisors (254926170).

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

133528230 is a wasteful number, since it uses less digits than its factorization.

133528230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44986 (or 44980 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 133528230 is about 11555.4415752926. The cubic root of 133528230 is about 511.1217523339.

The spelling of 133528230 in words is "one hundred thirty-three million, five hundred twenty-eight thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 44959 89918 134877 224795 269754 404631 449590 494549 674385 809262 989098 1213893 1348770 1483647 2023155 2427786 2472745 2967294 4046310 4450941 4945490 6069465 7418235 8901882 12138930 13352823 14836470 22254705 26705646 44509410 66764115 133528230