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120800 = 2552151
BaseRepresentation
bin11101011111100000
320010201002
4131133200
512331200
62331132
71012121
oct353740
9203632
10120800
1182839
1259aa8
1342ca4
1432048
1525bd5
hex1d7e0

120800 has 36 divisors (see below), whose sum is σ = 296856. Its totient is φ = 48000.

The previous prime is 120779. The next prime is 120811. The reversal of 120800 is 8021.

Adding to 120800 its reverse (8021), we get a palindrome (128821).

120800 = T43 + T44 + ... + T92.

120800 is nontrivially palindromic in base 3.

120800 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

120800 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, 725 + ... + 875.

It is an arithmetic number, because the mean of its divisors is an integer number (8246).

2120800 is an apocalyptic number.

120800 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 120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148428).

120800 is an abundant number, since it is smaller than the sum of its proper divisors (176056).

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

120800 is a wasteful number, since it uses less digits than its factorization.

120800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 120800 is about 347.5629439397. The cubic root of 120800 is about 49.4336082338.

The spelling of 120800 in words is "one hundred twenty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 151 160 200 302 400 604 755 800 1208 1510 2416 3020 3775 4832 6040 7550 12080 15100 24160 30200 60400 120800