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BaseRepresentation
bin10011100011000
3111201200
42130120
5310013
6114200
741115
oct23430
914650
1010008
117579
125960
13472b
14390c
152e73
hex2718

10008 has 24 divisors (see below), whose sum is σ = 27300. Its totient is φ = 3312.

The previous prime is 10007. The next prime is 10009. The reversal of 10008 is 80001.

Adding to 10008 its reverse (80001), we get a palindrome (90009).

It can be divided in two parts, 1000 and 8, that multiplied together give a cube (8000 = 203).

10008 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (10007) and next prime (10009).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3 + ... + 141.

210008 is an apocalyptic number.

10008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13650).

10008 is an abundant number, since it is smaller than the sum of its proper divisors (17292).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10008 is a wasteful number, since it uses less digits than its factorization.

10008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10008 is about 100.0399920032. The cubic root of 10008 is about 21.5500905281.

The spelling of 10008 in words is "ten thousand, eight".