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8010 = 232589
BaseRepresentation
bin1111101001010
3101222200
41331022
5224020
6101030
732232
oct17512
911880
108010
116022
124776
133852
142cc2
152590
hex1f4a

8010 has 24 divisors (see below), whose sum is σ = 21060. Its totient is φ = 2112.

The previous prime is 8009. The next prime is 8011. The reversal of 8010 is 108.

8010 = 382 + 392 + ... + 422.

8010 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (8009) and next prime (8011).

It can be written as a sum of positive squares in 2 ways, for example, as 7569 + 441 = 87^2 + 21^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 7983 and 8001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46 + ... + 134.

It is a pronic number, being equal to 89×90.

It is a practical number, because each smaller number is the sum of distinct divisors of 8010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10530).

8010 is an abundant number, since it is smaller than the sum of its proper divisors (13050).

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

8010 is a wasteful number, since it uses less digits than its factorization.

8010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 99 counting only the distinct ones).

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

The square root of 8010 is about 89.4986033411. The cubic root of 8010 is about 20.0083298635.

Adding to 8010 its reverse (108), we get a palindrome (8118).

The spelling of 8010 in words is "eight thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 801 890 1335 1602 2670 4005 8010