Search a number
-
+
114400 = 25521113
BaseRepresentation
bin11011111011100000
312210221001
4123323200
512130100
62241344
7654346
oct337340
9183831
10114400
1178a50
1256254
13400c0
142d996
1523d6a
hex1bee0

114400 has 72 divisors (see below), whose sum is σ = 328104. Its totient is φ = 38400.

The previous prime is 114377. The next prime is 114407. The reversal of 114400 is 4411.

Adding to 114400 its reverse (4411), we get a palindrome (118811).

It can be divided in two parts, 11 and 4400, that multiplied together give a square (48400 = 2202).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114407) by changing a digit.

114400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8794 + ... + 8806.

It is an arithmetic number, because the mean of its divisors is an integer number (4557).

2114400 is an apocalyptic number.

114400 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 114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164052).

114400 is an abundant number, since it is smaller than the sum of its proper divisors (213704).

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

114400 is a wasteful number, since it uses less digits than its factorization.

114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 114400 is about 338.2306905058. The cubic root of 114400 is about 48.5447208583.

The spelling of 114400 in words is "one hundred fourteen thousand, four hundred", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 65 80 88 100 104 110 130 143 160 176 200 208 220 260 275 286 325 352 400 416 440 520 550 572 650 715 800 880 1040 1100 1144 1300 1430 1760 2080 2200 2288 2600 2860 3575 4400 4576 5200 5720 7150 8800 10400 11440 14300 22880 28600 57200 114400