4200 has 48 divisors (see below), whose sum is σ = 14880. Its totient is φ = 960.

The previous prime is 4177. The next prime is 4201. The reversal of 4200 is 24.

4200 is nontrivially palindromic in base 13.

4200 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

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.

It is a nialpdrome in base 10.

It is a zygodrome in base 5.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 25 × 7 × 24.

It is not an unprimeable number, because it can be changed into a prime (4201) 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, 597 + ... + 603.

It is an arithmetic number, because the mean of its divisors is an integer number (310).

2^{4200} is an apocalyptic number.

4200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4200 is the 35-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7440).

4200 is an abundant number, since it is smaller than the sum of its proper divisors (10680).

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

4200 is a wasteful number, since it uses less digits than its factorization.

4200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 4200 is about 64.8074069841. The cubic root of 4200 is about 16.1342864602.

Adding to 4200 its reverse (24), we get a palindrome (4224).

The spelling of 4200 in words is "four thousand, two hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200

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