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5136 = 243107
BaseRepresentation
bin1010000010000
321001020
41100100
5131021
635440
720655
oct12020
97036
105136
11394a
122b80
132451
141c2c
1517c6
hex1410

5136 has 20 divisors (see below), whose sum is σ = 13392. Its totient is φ = 1696.

The previous prime is 5119. The next prime is 5147. The reversal of 5136 is 6315.

It is an unprimeable number.

5136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6 + ... + 101.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696).

5136 is an abundant number, since it is smaller than the sum of its proper divisors (8256).

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

5136 is a wasteful number, since it uses less digits than its factorization.

5136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 112 counting only the distinct ones).

The product of its digits is 90, while the sum is 15.

The square root of 5136 is about 71.6658914687. The cubic root of 5136 is about 17.2534124734.

Adding to 5136 its sum of digits (15), we get a triangular number (5151 = T101).

It can be divided in two parts, 5 and 136, that added together give a palindrome (141).

The spelling of 5136 in words is "five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 856 1284 1712 2568 5136