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10007079 = 331107603
BaseRepresentation
bin100110001011…
…001000100111
3200211102010120
4212023020213
510030211304
6554253023
7151026105
oct46131047
920742116
1010007079
115715515
123427173
1320c4b64
141486c75
15d2a0d9
hex98b227

10007079 has 8 divisors (see below), whose sum is σ = 13773312. Its totient is φ = 6456120.

The previous prime is 10007077. The next prime is 10007083. The reversal of 10007079 is 97070001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10007079 - 21 = 10007077 is a prime.

It is a super-2 number, since 2×100070792 = 200283260224482, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007077) 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 7 ways as a sum of consecutive naturals, for example, 53709 + ... + 53894.

It is an arithmetic number, because the mean of its divisors is an integer number (1721664).

Almost surely, 210007079 is an apocalyptic number.

10007079 is a deficient number, since it is larger than the sum of its proper divisors (3766233).

10007079 is a wasteful number, since it uses less digits than its factorization.

10007079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107637.

The product of its (nonzero) digits is 441, while the sum is 24.

The square root of 10007079 is about 3163.3967503303. The cubic root of 10007079 is about 215.4942944892.

The spelling of 10007079 in words is "ten million, seven thousand, seventy-nine".

Divisors: 1 3 31 93 107603 322809 3335693 10007079