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10024 = 237179

10024 has 16 divisors (see below), whose sum is σ = 21600. Its totient is φ = 4272.

The previous prime is 10009. The next prime is 10037. The reversal of 10024 is 42001.

Adding to 10024 its reverse (42001), we get a palindrome (52025).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a plaindrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 9989 and 10016.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34 + ... + 145.

It is an arithmetic number, because the mean of its divisors is an integer number (1350).

210024 is an apocalyptic number.

10024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10024 is an abundant number, since it is smaller than the sum of its proper divisors (11576).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10800).

10024 is a wasteful number, since it uses less digits than its factorization.

10024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 10024 is about 100.1199280863. The cubic root of 10024 is about 21.5615686078.

The spelling of 10024 in words is "ten thousand, twenty-four", and thus it is an iban number.

Divisors: 1 2 4 7 8 14 28 56 179 358 716 1253 1432 2506 5012 10024