10020 has 24 divisors (see below), whose sum is σ = 28224. Its totient is φ = 2656.

The previous prime is 10009. The next prime is 10037. The reversal of 10020 is 2001.

Adding to 10020 its reverse (2001), we get a palindrome (12021).

It can be divided in two parts, 100 and 20, that added together give a triangular number (120 = T_{15}).

10020 = T_{46} + T_{47} + ... +
T_{53}.

It is a Harshad number since it is a multiple of its sum of digits (3).

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

It is a plaindrome in base 8.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 9987 and 10014.

It is an unprimeable number.

10020 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24 + ... + 143.

It is an arithmetic number, because the mean of its divisors is an integer number (1176).

2^{10020} is an apocalyptic number.

10020 is a gapful number since it is divisible by the number (10) 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 10020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112).

10020 is an abundant number, since it is smaller than the sum of its proper divisors (18204).

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

10020 is a wasteful number, since it uses less digits than its factorization.

10020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 3.

The square root of 10020 is about 100.0999500499. The cubic root of 10020 is about 21.5587002336.

The spelling of 10020 in words is "ten thousand, twenty", and thus it is an iban number.

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