Search a number
-
+
134800 = 2452337
BaseRepresentation
bin100000111010010000
320211220121
4200322100
513303200
62520024
71101001
oct407220
9224817
10134800
1192306
1266014
1349483
14371a8
1529e1a
hex20e90

134800 has 30 divisors (see below), whose sum is σ = 324818. Its totient is φ = 53760.

The previous prime is 134789. The next prime is 134807. The reversal of 134800 is 8431.

134800 = T47 + T48 + ... + T96.

It can be written as a sum of positive squares in 3 ways, for example, as 2304 + 132496 = 48^2 + 364^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (134807) by changing a digit.

134800 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 5 ways as a sum of consecutive naturals, for example, 232 + ... + 568.

2134800 is an apocalyptic number.

134800 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 134800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162409).

134800 is an abundant number, since it is smaller than the sum of its proper divisors (190018).

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

134800 is a wasteful number, since it uses less digits than its factorization.

134800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 134800 is about 367.1511950137. The cubic root of 134800 is about 51.2739329029.

The spelling of 134800 in words is "one hundred thirty-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 337 400 674 1348 1685 2696 3370 5392 6740 8425 13480 16850 26960 33700 67400 134800