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120500 = 2253241
BaseRepresentation
bin11101011010110100
320010021222
4131122310
512324000
62325512
71011212
oct353264
9203258
10120500
1182596
1259898
1342b03
1431cb2
1525a85
hex1d6b4

120500 has 24 divisors (see below), whose sum is σ = 264264. Its totient is φ = 48000.

The previous prime is 120473. The next prime is 120503. The reversal of 120500 is 5021.

It can be written as a sum of positive squares in 4 ways, for example, as 784 + 119716 = 28^2 + 346^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120503) by changing a digit.

120500 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 7 ways as a sum of consecutive naturals, for example, 380 + ... + 620.

It is an arithmetic number, because the mean of its divisors is an integer number (11011).

2120500 is an apocalyptic number.

120500 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 120500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132132).

120500 is an abundant number, since it is smaller than the sum of its proper divisors (143764).

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

120500 is a wasteful number, since it uses less digits than its factorization.

120500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 120500 is about 347.1310991542. The cubic root of 120500 is about 49.3926524501.

Adding to 120500 its reverse (5021), we get a palindrome (125521).

The spelling of 120500 in words is "one hundred twenty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 241 250 482 500 964 1205 2410 4820 6025 12050 24100 30125 60250 120500