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5100 = 2235217
BaseRepresentation
bin1001111101100
320222220
41033230
5130400
635340
720604
oct11754
96886
105100
113917
122b50
132424
141c04
1517a0
hex13ec

5100 has 36 divisors (see below), whose sum is σ = 15624. Its totient is φ = 1280.

The previous prime is 5099. The next prime is 5101. The reversal of 5100 is 15.

Adding to 5100 its reverse (15), we get a palindrome (5115).

It can be divided in two parts, 5 and 100, that added together give a triangular number (105 = T14).

5100 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (5099) and next prime (5101).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

5100 is an undulating number in base 13.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (5101) 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, 292 + ... + 308.

It is an arithmetic number, because the mean of its divisors is an integer number (434).

25100 is an apocalyptic number.

5100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7812).

5100 is an abundant number, since it is smaller than the sum of its proper divisors (10524).

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

5100 is a wasteful number, since it uses less digits than its factorization.

5100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 6.

The square root of 5100 is about 71.4142842854. The cubic root of 5100 is about 17.2130062073.

The spelling of 5100 in words is "five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100