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133682808 = 233723291193
BaseRepresentation
bin1111111011111…
…01011001111000
3100022112210100010
413331331121320
5233210322213
621133141520
73212166540
oct775753170
9308483303
10133682808
1169507966
123892a8a0
1321907b6c
1413a7c320
15bb09ac3
hex7f7d678

133682808 has 128 divisors (see below), whose sum is σ = 412646400. Its totient is φ = 35245056.

The previous prime is 133682777. The next prime is 133682897. The reversal of 133682808 is 808286331.

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, 111460 + ... + 112652.

It is an arithmetic number, because the mean of its divisors is an integer number (3223800).

Almost surely, 2133682808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133682808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206323200).

133682808 is an abundant number, since it is smaller than the sum of its proper divisors (278963592).

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

133682808 is a wasteful number, since it uses less digits than its factorization.

133682808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 133682808 is about 11562.1281778053. The cubic root of 133682808 is about 511.3189084211.

The spelling of 133682808 in words is "one hundred thirty-three million, six hundred eighty-two thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 29 42 46 56 58 69 84 87 92 116 138 161 168 174 184 203 232 276 322 348 406 483 552 609 644 667 696 812 966 1193 1218 1288 1334 1624 1932 2001 2386 2436 2668 3579 3864 4002 4669 4772 4872 5336 7158 8004 8351 9338 9544 14007 14316 16008 16702 18676 25053 27439 28014 28632 33404 34597 37352 50106 54878 56028 66808 69194 82317 100212 103791 109756 112056 138388 164634 192073 200424 207582 219512 242179 276776 329268 384146 415164 484358 576219 658536 726537 768292 795731 830328 968716 1152438 1453074 1536584 1591462 1937432 2304876 2387193 2906148 3182924 4609752 4774386 5570117 5812296 6365848 9548772 11140234 16710351 19097544 22280468 33420702 44560936 66841404 133682808