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10707 = 34383
BaseRepresentation
bin10100111010011
3112200120
42213103
5320312
6121323
743134
oct24723
915616
1010707
118054
126243
134b48
143c8b
15328c
hex29d3

10707 has 8 divisors (see below), whose sum is σ = 14784. Its totient is φ = 6888.

The previous prime is 10691. The next prime is 10709. The reversal of 10707 is 70701.

10707 is nontrivially palindromic in base 7.

10707 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10707 - 24 = 10691 is a prime.

It is a super-2 number, since 2×107072 = 229279698, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10707.

It is not an unprimeable number, because it can be changed into a prime (10709) 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, 88 + ... + 170.

It is an arithmetic number, because the mean of its divisors is an integer number (1848).

210707 is an apocalyptic number.

10707 is a deficient number, since it is larger than the sum of its proper divisors (4077).

10707 is an equidigital number, since it uses as much as digits as its factorization.

10707 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129.

The product of its (nonzero) digits is 49, while the sum is 15.

The square root of 10707 is about 103.4746345729. The cubic root of 10707 is about 22.0405587894.

It can be divided in two parts, 10 and 707, that added together give a palindrome (717).

The spelling of 10707 in words is "ten thousand, seven hundred seven", and thus it is an iban number.

Divisors: 1 3 43 83 129 249 3569 10707