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210728133 = 32711304081
BaseRepresentation
bin11001000111101…
…11010011000101
3112200112002122200
430203313103011
5412421300013
632524345113
75136105510
oct1443672305
9480462580
10210728133
11a8a50190
125a6a5199
1334872405
141ddb5d77
1513777e73
hexc8f74c5

210728133 has 24 divisors (see below), whose sum is σ = 379494336. Its totient is φ = 109468800.

The previous prime is 210728131. The next prime is 210728143. The reversal of 210728133 is 331827012.

It is not a de Polignac number, because 210728133 - 21 = 210728131 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 210728097 and 210728106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210728131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151348 + ... + 152733.

It is an arithmetic number, because the mean of its divisors is an integer number (15812264).

Almost surely, 2210728133 is an apocalyptic number.

It is an amenable number.

210728133 is a deficient number, since it is larger than the sum of its proper divisors (168766203).

210728133 is a wasteful number, since it uses less digits than its factorization.

210728133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304105 (or 304102 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 210728133 is about 14516.4779819349. The cubic root of 210728133 is about 595.0783815014.

The spelling of 210728133 in words is "two hundred ten million, seven hundred twenty-eight thousand, one hundred thirty-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 304081 912243 2128567 2736729 3344891 6385701 10034673 19157103 23414237 30104019 70242711 210728133