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133870770 = 232511219647
BaseRepresentation
bin1111111101010…
…11010010110010
3100022220100011200
413332223102302
5233232331040
621141152030
73213611535
oct776532262
9308810150
10133870770
1169626100
12389bb616
1321972597
1413acaa1c
15bb45630
hex7fab4b2

133870770 has 144 divisors (see below), whose sum is σ = 403341120. Its totient is φ = 30697920.

The previous prime is 133870721. The next prime is 133870771. The reversal of 133870770 is 77078331.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (133870771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 206587 + ... + 207233.

It is an arithmetic number, because the mean of its divisors is an integer number (2800980).

Almost surely, 2133870770 is an apocalyptic number.

133870770 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 133870770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201670560).

133870770 is an abundant number, since it is smaller than the sum of its proper divisors (269470350).

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

133870770 is a wasteful number, since it uses less digits than its factorization.

133870770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 133870770 is about 11570.2536705122. The cubic root of 133870770 is about 511.5584393861.

It can be divided in two parts, 13 and 3870770, that added together give a palindrome (3870783).

The spelling of 133870770 in words is "one hundred thirty-three million, eight hundred seventy thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 30 33 38 45 55 57 66 90 95 99 110 114 121 165 171 190 198 209 242 285 330 342 363 418 495 570 605 627 647 726 855 990 1045 1089 1210 1254 1294 1710 1815 1881 1941 2090 2178 2299 3135 3235 3630 3762 3882 4598 5445 5823 6270 6470 6897 7117 9405 9705 10890 11495 11646 12293 13794 14234 18810 19410 20691 21351 22990 24586 29115 34485 35585 36879 41382 42702 58230 61465 64053 68970 71170 73758 78287 103455 106755 110637 122930 128106 135223 156574 184395 206910 213510 221274 234861 270446 320265 368790 391435 405669 469722 553185 640530 676115 704583 782870 811338 1106370 1174305 1217007 1352230 1409166 1487453 2028345 2348610 2434014 2974906 3522915 4056690 4462359 6085035 7045830 7437265 8924718 12170070 13387077 14874530 22311795 26774154 44623590 66935385 133870770