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5104 = 241129
BaseRepresentation
bin1001111110000
321000001
41033300
5130404
635344
720611
oct11760
97001
105104
113920
122b54
132428
141c08
1517a4
hex13f0

5104 has 20 divisors (see below), whose sum is σ = 11160. Its totient is φ = 2240.

The previous prime is 5101. The next prime is 5107. The reversal of 5104 is 4015.

It is an interprime number because it is at equal distance from previous prime (5101) and next prime (5107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5101) 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 3 ways as a sum of consecutive naturals, for example, 162 + ... + 190.

It is an arithmetic number, because the mean of its divisors is an integer number (558).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580).

5104 is an abundant number, since it is smaller than the sum of its proper divisors (6056).

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

5104 is a wasteful number, since it uses less digits than its factorization.

5104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 5104 is about 71.4422843980. The cubic root of 5104 is about 17.2175051636.

Multiplying 5104 by its sum of digits (10), we get a triangular number (51040 = T319).

Adding to 5104 its reverse (4015), we get a palindrome (9119).

Subtracting from 5104 its reverse (4015), we obtain a square (1089 = 332).

The spelling of 5104 in words is "five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 1276 2552 5104