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133680316 = 22711317211
BaseRepresentation
bin1111111011111…
…00110010111100
3100022112122220211
413331330302330
5233210232231
621133122204
73212156350
oct775746274
9308478824
10133680316
1169506000
1238929364
13219069a3
1413a7b460
15bb08eb1
hex7f7ccbc

133680316 has 96 divisors (see below), whose sum is σ = 312850944. Its totient is φ = 48787200.

The previous prime is 133680311. The next prime is 133680373. The reversal of 133680316 is 613086331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133680311) by changing a digit.

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, 633451 + ... + 633661.

It is an arithmetic number, because the mean of its divisors is an integer number (3258864).

Almost surely, 2133680316 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 133680316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156425472).

133680316 is an abundant number, since it is smaller than the sum of its proper divisors (179170628).

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

133680316 is a wasteful number, since it uses less digits than its factorization.

133680316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 133680316 is about 11562.0204116755. The cubic root of 133680316 is about 511.3157312122.

The spelling of 133680316 in words is "one hundred thirty-three million, six hundred eighty thousand, three hundred sixteen".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 121 154 187 211 238 242 308 374 422 476 484 748 844 847 1309 1331 1477 1694 2057 2321 2618 2662 2954 3388 3587 4114 4642 5236 5324 5908 7174 8228 9284 9317 14348 14399 16247 18634 22627 25109 25531 28798 32494 37268 39457 45254 50218 51062 57596 64988 78914 90508 100436 102124 157828 158389 178717 276199 280841 316778 357434 434027 552398 561682 633556 714868 868054 1104796 1123364 1736108 1965887 3038189 3931774 4774297 6076378 7863548 9548594 12152756 19097188 33420079 66840158 133680316