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133684290 = 23351493323
BaseRepresentation
bin1111111011111…
…01110001000010
3100022112212101000
413331331301002
5233210344130
621133152430
73212204055
oct775756102
9308485330
10133684290
1169508a93
123892b716
132190873c
1413a7ca9c
15bb0a260
hex7f7dc42

133684290 has 64 divisors (see below), whose sum is σ = 358992000. Its totient is φ = 35399232.

The previous prime is 133684261. The next prime is 133684301. The reversal of 133684290 is 92486331.

133684290 is a `hidden beast` number, since 1 + 3 + 368 + 4 + 290 = 666.

It is a Curzon number.

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, 38569 + ... + 41891.

It is an arithmetic number, because the mean of its divisors is an integer number (5609250).

Almost surely, 2133684290 is an apocalyptic number.

133684290 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 133684290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179496000).

133684290 is an abundant number, since it is smaller than the sum of its proper divisors (225307710).

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

133684290 is a wasteful number, since it uses less digits than its factorization.

133684290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 133684290 is about 11562.1922661751. The cubic root of 133684290 is about 511.3207978983.

The spelling of 133684290 in words is "one hundred thirty-three million, six hundred eighty-four thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 149 270 298 447 745 894 1341 1490 2235 2682 3323 4023 4470 6646 6705 8046 9969 13410 16615 19938 20115 29907 33230 40230 49845 59814 89721 99690 149535 179442 299070 448605 495127 897210 990254 1485381 2475635 2970762 4456143 4951270 7426905 8912286 13368429 14853810 22280715 26736858 44561430 66842145 133684290