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133340844 = 223713235309
BaseRepresentation
bin1111111001010…
…01111010101100
3100021220102020210
413330221322230
5233113401334
621121542420
73206243550
oct774517254
9307812223
10133340844
11692a3a4a
12387a4a10
1321818310
14139cd860
15ba8d5e9
hex7f29eac

133340844 has 96 divisors (see below), whose sum is σ = 399651840. Its totient is φ = 33631488.

The previous prime is 133340819. The next prime is 133340863. The reversal of 133340844 is 448043331.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 22462 + ... + 27770.

It is an arithmetic number, because the mean of its divisors is an integer number (4163040).

Almost surely, 2133340844 is an apocalyptic number.

133340844 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133340844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199825920).

133340844 is an abundant number, since it is smaller than the sum of its proper divisors (266310996).

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

133340844 is a wasteful number, since it uses less digits than its factorization.

133340844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5359 (or 5357 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 133340844 is about 11547.3306006193. The cubic root of 133340844 is about 510.8825472401.

The spelling of 133340844 in words is "one hundred thirty-three million, three hundred forty thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 23 26 28 39 42 46 52 69 78 84 91 92 138 156 161 182 273 276 299 322 364 483 546 598 644 897 966 1092 1196 1794 1932 2093 3588 4186 5309 6279 8372 10618 12558 15927 21236 25116 31854 37163 63708 69017 74326 111489 122107 138034 148652 207051 222978 244214 276068 366321 414102 445956 483119 488428 732642 828204 854749 966238 1449357 1465284 1587391 1709498 1932476 2564247 2898714 3174782 3418996 4762173 5128494 5797428 6349564 9524346 10256988 11111737 19048692 22223474 33335211 44446948 66670422 133340844