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114800 = 2452741
BaseRepresentation
bin11100000001110000
312211110212
4130001300
512133200
62243252
7655460
oct340160
9184425
10114800
1179284
1256528
134033a
142dba0
1524035
hex1c070

114800 has 60 divisors (see below), whose sum is σ = 322896. Its totient is φ = 38400.

The previous prime is 114799. The next prime is 114809. The reversal of 114800 is 8411.

114800 = T121 + T122 + ... + T134.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114809) 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, 2780 + ... + 2820.

2114800 is an apocalyptic number.

114800 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 114800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161448).

114800 is an abundant number, since it is smaller than the sum of its proper divisors (208096).

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

114800 is a wasteful number, since it uses less digits than its factorization.

114800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 114800 is about 338.8214869219. The cubic root of 114800 is about 48.6012339721.

The spelling of 114800 in words is "one hundred fourteen thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 41 50 56 70 80 82 100 112 140 164 175 200 205 280 287 328 350 400 410 560 574 656 700 820 1025 1148 1400 1435 1640 2050 2296 2800 2870 3280 4100 4592 5740 7175 8200 11480 14350 16400 22960 28700 57400 114800