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133065330 = 23531199719
BaseRepresentation
bin1111110111001…
…10101001110010
3100021101102022120
413323212221302
5233031042310
621112015110
73204015366
oct773465162
9307342276
10133065330
1169125a52
1238691496
132174caa8
141395b2a6
15ba36b70
hex7ee6a72

133065330 has 64 divisors (see below), whose sum is σ = 331776000. Its totient is φ = 34119360.

The previous prime is 133065329. The next prime is 133065337. The reversal of 133065330 is 33560331.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 133065330.

It is not an unprimeable number, because it can be changed into a prime (133065337) 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 31 ways as a sum of consecutive naturals, for example, 184711 + ... + 185429.

It is an arithmetic number, because the mean of its divisors is an integer number (5184000).

Almost surely, 2133065330 is an apocalyptic number.

133065330 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 133065330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165888000).

133065330 is an abundant number, since it is smaller than the sum of its proper divisors (198710670).

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

133065330 is a wasteful number, since it uses less digits than its factorization.

133065330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959.

The product of its (nonzero) digits is 2430, while the sum is 24.

The square root of 133065330 is about 11535.3946616490. The cubic root of 133065330 is about 510.5304361989.

The spelling of 133065330 in words is "one hundred thirty-three million, sixty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 199 310 398 465 597 719 930 995 1194 1438 1990 2157 2985 3595 4314 5970 6169 7190 10785 12338 18507 21570 22289 30845 37014 44578 61690 66867 92535 111445 133734 143081 185070 222890 286162 334335 429243 668670 715405 858486 1430810 2146215 4292430 4435511 8871022 13306533 22177555 26613066 44355110 66532665 133065330