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10006339 = 7329173
BaseRepresentation
bin100110001010…
…111101000011
3200211101010011
4212022331003
510030200324
6554245351
7151024000
oct46127503
920741104
1010006339
115714a02
123426857
1320c4715
1414868a7
15d29c94
hex98af43

10006339 has 8 divisors (see below), whose sum is σ = 11669600. Its totient is φ = 8576568.

The previous prime is 10006333. The next prime is 10006349. The reversal of 10006339 is 93360001.

10006339 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10006339 - 25 = 10006307 is a prime.

It is a Duffinian number.

10006339 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (10006333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14244 + ... + 14929.

It is an arithmetic number, because the mean of its divisors is an integer number (1458700).

Almost surely, 210006339 is an apocalyptic number.

10006339 is a deficient number, since it is larger than the sum of its proper divisors (1663261).

10006339 is an frugal number, since it uses more digits than its factorization.

10006339 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29194 (or 29180 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 10006339 is about 3163.2797852862. The cubic root of 10006339 is about 215.4889825925.

The spelling of 10006339 in words is "ten million, six thousand, three hundred thirty-nine".

Divisors: 1 7 49 343 29173 204211 1429477 10006339