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120834 = 23272137
BaseRepresentation
bin11101100000000010
320010202100
4131200002
512331314
62331230
71012200
oct354002
9203670
10120834
118286a
1259b16
1342ccc
1432070
1525c09
hex1d802

120834 has 36 divisors (see below), whose sum is σ = 306774. Its totient is φ = 34272.

The previous prime is 120833. The next prime is 120847. The reversal of 120834 is 438021.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 99225 + 21609 = 315^2 + 147^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120833) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 814 + ... + 950.

2120834 is an apocalyptic number.

120834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153387).

120834 is an abundant number, since it is smaller than the sum of its proper divisors (185940).

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

120834 is a wasteful number, since it uses less digits than its factorization.

120834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 120834 is about 347.6118525022. The cubic root of 120834 is about 49.4382456097.

Adding to 120834 its reverse (438021), we get a palindrome (558855).

The spelling of 120834 in words is "one hundred twenty thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 137 147 274 294 411 441 822 882 959 1233 1918 2466 2877 5754 6713 8631 13426 17262 20139 40278 60417 120834