Search a number
-
+
133444050 = 235217431217
BaseRepresentation
bin1111111010000…
…11000111010010
3100022002122211020
413331003013102
5233130202200
621124100310
73210153465
oct775030722
9308078736
10133444050
1169364543
1238834696
132185329c
1413a192dc
15baadea0
hex7f431d2

133444050 has 96 divisors (see below), whose sum is σ = 358852032. Its totient is φ = 32686080.

The previous prime is 133444043. The next prime is 133444081. The reversal of 133444050 is 50444331.

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 133444050.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109042 + ... + 110258.

It is an arithmetic number, because the mean of its divisors is an integer number (3738042).

Almost surely, 2133444050 is an apocalyptic number.

133444050 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 133444050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179426016).

133444050 is an abundant number, since it is smaller than the sum of its proper divisors (225407982).

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

133444050 is a wasteful number, since it uses less digits than its factorization.

133444050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 133444050 is about 11551.7985612631. The cubic root of 133444050 is about 511.0143211839.

Adding to 133444050 its reverse (50444331), we get a palindrome (183888381).

The spelling of 133444050 in words is "one hundred thirty-three million, four hundred forty-four thousand, fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 43 50 51 75 85 86 102 129 150 170 215 255 258 425 430 510 645 731 850 1075 1217 1275 1290 1462 2150 2193 2434 2550 3225 3651 3655 4386 6085 6450 7302 7310 10965 12170 18255 18275 20689 21930 30425 36510 36550 41378 52331 54825 60850 62067 91275 103445 104662 109650 124134 156993 182550 206890 261655 310335 313986 517225 523310 620670 784965 889627 1034450 1308275 1551675 1569930 1779254 2616550 2668881 3103350 3924825 4448135 5337762 7849650 8896270 13344405 22240675 26688810 44481350 66722025 133444050