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10579142 = 272971367
BaseRepresentation
bin101000010110…
…110011000110
3201220110212002
4220112303012
510202013032
61014425302
7155630660
oct50266306
921813762
1010579142
115a762a2
123662232
132265362
141595530
15dde862
hexa16cc6

10579142 has 32 divisors (see below), whose sum is σ = 19077120. Its totient is φ = 4304160.

The previous prime is 10579141. The next prime is 10579157. The reversal of 10579142 is 24197501.

It is a super-2 number, since 2×105791422 = 223836490912328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10579141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28643 + ... + 29009.

It is an arithmetic number, because the mean of its divisors is an integer number (596160).

Almost surely, 210579142 is an apocalyptic number.

10579142 is a deficient number, since it is larger than the sum of its proper divisors (8497978).

10579142 is a wasteful number, since it uses less digits than its factorization.

10579142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476.

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 10579142 is about 3252.5592999975. The cubic root of 10579142 is about 219.5247454214.

The spelling of 10579142 in words is "ten million, five hundred seventy-nine thousand, one hundred forty-two".

Divisors: 1 2 7 14 29 58 71 142 203 367 406 497 734 994 2059 2569 4118 5138 10643 14413 21286 26057 28826 52114 74501 149002 182399 364798 755653 1511306 5289571 10579142