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5076 = 223347
BaseRepresentation
bin1001111010100
320222000
41033110
5130301
635300
720541
oct11724
96860
105076
1138a5
122b30
132406
141bc8
151786
hex13d4

5076 has 24 divisors (see below), whose sum is σ = 13440. Its totient is φ = 1656.

The previous prime is 5059. The next prime is 5077. The reversal of 5076 is 6705.

5076 divided by its sum of digits (18) gives a palindrome (282).

Adding to 5076 its reverse (6705), we get a triangular number (11781 = T153).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5076.

It is not an unprimeable number, because it can be changed into a prime (5077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85 + ... + 131.

It is an arithmetic number, because the mean of its divisors is an integer number (560).

5076 is the 36-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6720).

5076 is an abundant number, since it is smaller than the sum of its proper divisors (8364).

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

5076 is a wasteful number, since it uses less digits than its factorization.

5076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 5076 is about 71.2460525222. The cubic root of 5076 is about 17.1859629479.

The spelling of 5076 in words is "five thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 846 1269 1692 2538 5076