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120380 = 22513463
BaseRepresentation
bin11101011000111100
320010010112
4131120330
512323010
62325152
71010651
oct353074
9203115
10120380
1182497
12597b8
1342a40
1431c28
1525a05
hex1d63c

120380 has 24 divisors (see below), whose sum is σ = 272832. Its totient is φ = 44352.

The previous prime is 120371. The next prime is 120383. The reversal of 120380 is 83021.

Added to its reverse (83021) it gives a square (203401 = 4512).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 120380.

It is not an unprimeable number, because it can be changed into a prime (120383) by changing a digit.

120380 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, 29 + ... + 491.

It is an arithmetic number, because the mean of its divisors is an integer number (11368).

2120380 is an apocalyptic number.

120380 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 120380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136416).

120380 is an abundant number, since it is smaller than the sum of its proper divisors (152452).

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

120380 is a wasteful number, since it uses less digits than its factorization.

120380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 120380 is about 346.9582107401. The cubic root of 120380 is about 49.3762511033.

Adding to 120380 its reverse (83021), we get a square (203401 = 4512).

The spelling of 120380 in words is "one hundred twenty thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 463 926 1852 2315 4630 6019 9260 12038 24076 30095 60190 120380