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120285 = 37511
BaseRepresentation
bin11101010111011101
320010000000
4131113131
512322120
62324513
71010454
oct352735
9203000
10120285
1182410
1259739
1342999
1431b9b
1525990
hex1d5dd

120285 has 32 divisors (see below), whose sum is σ = 236160. Its totient is φ = 58320.

The previous prime is 120283. The next prime is 120293. The reversal of 120285 is 582021.

It is not a de Polignac number, because 120285 - 21 = 120283 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10930 + ... + 10940.

It is an arithmetic number, because the mean of its divisors is an integer number (7380).

2120285 is an apocalyptic number.

120285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120285 is a deficient number, since it is larger than the sum of its proper divisors (115875).

120285 is an frugal number, since it uses more digits than its factorization.

120285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 120285 is about 346.8212796240. The cubic root of 120285 is about 49.3632589719.

The spelling of 120285 in words is "one hundred twenty thousand, two hundred eighty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 243 297 405 495 729 891 1215 1485 2187 2673 3645 4455 8019 10935 13365 24057 40095 120285