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133870050 = 23352531871
BaseRepresentation
bin1111111101010…
…11000111100010
3100022220022012000
413332223013202
5233232320200
621141144430
73213606456
oct776530742
9308808160
10133870050
1169625606
12389bb116
1321972162
1413aca666
15bb45300
hex7fab1e2

133870050 has 96 divisors (see below), whose sum is σ = 376047360. Its totient is φ = 35006400.

The previous prime is 133870031. The next prime is 133870057. The reversal of 133870050 is 50078331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 133869996 and 133870023.

It is not an unprimeable number, because it can be changed into a prime (133870057) 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 47 ways as a sum of consecutive naturals, for example, 70615 + ... + 72485.

It is an arithmetic number, because the mean of its divisors is an integer number (3917160).

Almost surely, 2133870050 is an apocalyptic number.

133870050 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 133870050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188023680).

133870050 is an abundant number, since it is smaller than the sum of its proper divisors (242177310).

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

133870050 is a wasteful number, since it uses less digits than its factorization.

133870050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 133870050 is about 11570.2225562000. Note that the first 3 decimals coincide. The cubic root of 133870050 is about 511.5575222759.

The spelling of 133870050 in words is "one hundred thirty-three million, eight hundred seventy thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 53 54 75 90 106 135 150 159 225 265 270 318 450 477 530 675 795 954 1325 1350 1431 1590 1871 2385 2650 2862 3742 3975 4770 5613 7155 7950 9355 11226 11925 14310 16839 18710 23850 28065 33678 35775 46775 50517 56130 71550 84195 93550 99163 101034 140325 168390 198326 252585 280650 297489 420975 495815 505170 594978 841950 892467 991630 1262925 1487445 1784934 2479075 2525850 2677401 2974890 4462335 4958150 5354802 7437225 8924670 13387005 14874450 22311675 26774010 44623350 66935025 133870050