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1020 = 223517
BaseRepresentation
bin1111111100
31101210
433330
513040
64420
72655
oct1774
91353
101020
11848
12710
13606
1452c
15480
hex3fc

1020 has 24 divisors (see below), whose sum is σ = 3024. Its totient is φ = 256.

The previous prime is 1019. The next prime is 1021. The reversal of 1020 is 201.

Adding to 1020 its reverse (201), we get a palindrome (1221).

1020 = T9 + T10 + ... + T18.

1020 is nontrivially palindromic in base 11 and base 13.

It is an interprime number because it is at equal distance from previous prime (1019) and next prime (1021).

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 an Ulam number.

1020 is an undulating number in base 11 and base 13.

It is a nialpdrome in base 2, base 4, base 6 and base 12.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 996 and 1014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021) by changing a digit.

In principle, a polygon with 1020 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52 + ... + 68.

It is an arithmetic number, because the mean of its divisors is an integer number (126).

1020 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 1020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512).

1020 is an abundant number, since it is smaller than the sum of its proper divisors (2004).

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

1020 is a wasteful number, since it uses less digits than its factorization.

1020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29 (or 27 counting only the distinct ones).

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

The square root of 1020 is about 31.9374388453. The cubic root of 1020 is about 10.0662270956.

The spelling of 1020 in words is "one thousand, twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020