Search a number
-
+
133420980 = 223571128879
BaseRepresentation
bin1111111001111…
…01011110110100
3100022001111011210
413330331132310
5233123432410
621123401420
73210026310
oct774753664
9308044153
10133420980
1169349180
1238823270
1321845934
1413a10b40
15baa7220
hex7f3d7b4

133420980 has 96 divisors (see below), whose sum is σ = 465776640. Its totient is φ = 27722880.

The previous prime is 133420979. The next prime is 133421003. The reversal of 133420980 is 89024331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 15.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 9820 + ... + 19059.

It is an arithmetic number, because the mean of its divisors is an integer number (4851840).

Almost surely, 2133420980 is an apocalyptic number.

133420980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133420980 is an abundant number, since it is smaller than the sum of its proper divisors (332355660).

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

133420980 is a wasteful number, since it uses less digits than its factorization.

133420980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28909 (or 28907 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 133420980 is about 11550.7999722963. The cubic root of 133420980 is about 510.9848711889.

The spelling of 133420980 in words is "one hundred thirty-three million, four hundred twenty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 28879 57758 86637 115516 144395 173274 202153 288790 317669 346548 404306 433185 577580 606459 635338 808612 866370 953007 1010765 1212918 1270676 1588345 1732740 1906014 2021530 2223683 2425836 3032295 3176690 3812028 4043060 4447366 4765035 6064590 6353380 6671049 8894732 9530070 11118415 12129180 13342098 19060140 22236830 26684196 33355245 44473660 66710490 133420980