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10242759 = 367131389
BaseRepresentation
bin100111000100…
…101011000111
3201021101102110
4213010223013
510110232014
61003312103
7153030162
oct47045307
921241373
1010242759
11586659a
12351b633
132178207
141508ad9
15d74d59
hex9c4ac7

10242759 has 16 divisors (see below), whose sum is σ = 14002560. Its totient is φ = 6658080.

The previous prime is 10242733. The next prime is 10242761. The reversal of 10242759 is 95724201.

10242759 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10242759 - 217 = 10111687 is a prime.

It is a super-2 number, since 2×102427592 = 209828223864162, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26137 + ... + 26525.

It is an arithmetic number, because the mean of its divisors is an integer number (875160).

Almost surely, 210242759 is an apocalyptic number.

10242759 is a deficient number, since it is larger than the sum of its proper divisors (3759801).

10242759 is a wasteful number, since it uses less digits than its factorization.

10242759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 10242759 is about 3200.4310647161. The cubic root of 10242759 is about 217.1729103841.

The spelling of 10242759 in words is "ten million, two hundred forty-two thousand, seven hundred fifty-nine".

Divisors: 1 3 67 131 201 389 393 1167 8777 26063 26331 50959 78189 152877 3414253 10242759