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8400 = 243527
BaseRepresentation
bin10000011010000
3102112010
42003100
5232100
6102520
733330
oct20320
912463
108400
116347
124a40
133a92
1430c0
152750
hex20d0

8400 has 60 divisors (see below), whose sum is σ = 30752. Its totient is φ = 1920.

The previous prime is 8389. The next prime is 8419. The reversal of 8400 is 48.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 7 and base 10.

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 8400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1197 + ... + 1203.

28400 is an apocalyptic number.

8400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8400 is the 75-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15376).

8400 is an abundant number, since it is smaller than the sum of its proper divisors (22352).

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

8400 is a wasteful number, since it uses less digits than its factorization.

8400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 8400 is about 91.6515138991. The cubic root of 8400 is about 20.3279271363.

Adding to 8400 its reverse (48), we get a palindrome (8448).

The spelling of 8400 in words is "eight thousand, four hundred".