Search a number
-
+
5110 = 25773
BaseRepresentation
bin1001111110110
321000021
41033312
5130420
635354
720620
oct11766
97007
105110
113926
122b5a
132431
141c10
1517aa
hex13f6

5110 has 16 divisors (see below), whose sum is σ = 10656. Its totient is φ = 1728.

The previous prime is 5107. The next prime is 5113. The reversal of 5110 is 115.

5110 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (5107) and next prime (5113).

It is a super-2 number, since 2×51102 = 52224200, which contains 22 as substring.

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

It is a plaindrome in base 15.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 5093 and 5102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34 + ... + 106.

It is an arithmetic number, because the mean of its divisors is an integer number (666).

25110 is an apocalyptic number.

5110 is an abundant number, since it is smaller than the sum of its proper divisors (5546).

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 (5328).

5110 is a wasteful number, since it uses less digits than its factorization.

5110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87.

The product of its (nonzero) digits is 5, while the sum is 7.

The square root of 5110 is about 71.4842640026. The cubic root of 5110 is about 17.2242491930.

Adding to 5110 its reverse (115), we get a palindrome (5225).

The spelling of 5110 in words is "five thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 70 73 146 365 511 730 1022 2555 5110