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10640133 = 337192963
BaseRepresentation
bin101000100101…
…101100000101
3202000120112000
4220211230011
510210441013
61020015513
7156303540
oct50455405
922016460
1010640133
1160080a9
123691599
13228704a
1415ad857
15e02973
hexa25b05

10640133 has 32 divisors (see below), whose sum is σ = 18969600. Its totient is φ = 5758128.

The previous prime is 10640107. The next prime is 10640143. The reversal of 10640133 is 33104601.

10640133 is a `hidden beast` number, since 10 + 640 + 13 + 3 = 666.

10640133 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 10640133 - 213 = 10631941 is a prime.

It is a super-2 number, since 2×106401332 = 226424860515378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10640143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2110 + ... + 5072.

It is an arithmetic number, because the mean of its divisors is an integer number (592800).

Almost surely, 210640133 is an apocalyptic number.

It is an amenable number.

10640133 is a deficient number, since it is larger than the sum of its proper divisors (8329467).

10640133 is a wasteful number, since it uses less digits than its factorization.

10640133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 10640133 is about 3261.9216728793. The cubic root of 10640133 is about 219.9458062105.

Adding to 10640133 its reverse (33104601), we get a palindrome (43744734).

The spelling of 10640133 in words is "ten million, six hundred forty thousand, one hundred thirty-three".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 399 513 1197 2963 3591 8889 20741 26667 56297 62223 80001 168891 186669 394079 506673 560007 1182237 1520019 3546711 10640133