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11400 = 2335219
BaseRepresentation
bin10110010001000
3120122020
42302020
5331100
6124440
745144
oct26210
916566
1011400
118624
126720
13525c
144224
1535a0
hex2c88

11400 has 48 divisors (see below), whose sum is σ = 37200. Its totient is φ = 2880.

The previous prime is 11399. The next prime is 11411. The reversal of 11400 is 411.

11400 is nontrivially palindromic in base 14.

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 5.

It is a zygodrome in base 5.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 591 + ... + 609.

It is an arithmetic number, because the mean of its divisors is an integer number (775).

211400 is an apocalyptic number.

11400 is a gapful number since it is divisible by the number (10) 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 11400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18600).

11400 is an abundant number, since it is smaller than the sum of its proper divisors (25800).

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

11400 is a wasteful number, since it uses less digits than its factorization.

11400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 11400 is about 106.7707825203. The cubic root of 11400 is about 22.5061711468.

Adding to 11400 its reverse (411), we get a palindrome (11811).

The spelling of 11400 in words is "eleven thousand, four hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400