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133080570 = 234573479
BaseRepresentation
bin1111110111010…
…10010111111010
3100021102012020000
413323222113322
5233032034240
621112213430
73204111000
oct773522772
9307365200
10133080570
1169136447
123869a276
13217569cc
1413962a70
15ba3b430
hex7eea5fa

133080570 has 160 divisors (see below), whose sum is σ = 418176000. Its totient is φ = 30354912.

The previous prime is 133080569. The next prime is 133080581. The reversal of 133080570 is 75080331.

133080570 is a `hidden beast` number, since 13 + 3 + 0 + 80 + 570 = 666.

It is a super-2 number, since 2×1330805702 = 35420876223049800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 277591 + ... + 278069.

It is an arithmetic number, because the mean of its divisors is an integer number (2613600).

Almost surely, 2133080570 is an apocalyptic number.

133080570 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 133080570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209088000).

133080570 is an abundant number, since it is smaller than the sum of its proper divisors (285095430).

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

133080570 is an equidigital number, since it uses as much as digits as its factorization.

133080570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 133080570 is about 11536.0552183144. The cubic root of 133080570 is about 510.5499258407.

The spelling of 133080570 in words is "one hundred thirty-three million, eighty thousand, five hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 81 90 98 105 126 135 147 162 189 210 245 270 294 315 343 378 405 441 479 490 567 630 686 735 810 882 945 958 1029 1134 1323 1437 1470 1715 1890 2058 2205 2395 2646 2835 2874 3087 3353 3430 3969 4311 4410 4790 5145 5670 6174 6615 6706 7185 7938 8622 9261 10059 10290 12933 13230 14370 15435 16765 18522 19845 20118 21555 23471 25866 27783 30177 30870 33530 38799 39690 43110 46305 46942 50295 55566 60354 64665 70413 77598 90531 92610 100590 117355 129330 138915 140826 150885 164297 181062 193995 211239 234710 271593 277830 301770 328594 352065 387990 422478 452655 492891 543186 633717 704130 821485 905310 985782 1056195 1267434 1357965 1478673 1642970 1901151 2112390 2464455 2715930 2957346 3168585 3802302 4436019 4928910 6337170 7393365 8872038 9505755 13308057 14786730 19011510 22180095 26616114 44360190 66540285 133080570