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120060 = 223252329
BaseRepresentation
bin11101010011111100
320002200200
4131103330
512320220
62323500
71010013
oct352374
9202620
10120060
1182226
1259590
1342855
1431a7a
1525890
hex1d4fc

120060 has 72 divisors (see below), whose sum is σ = 393120. Its totient is φ = 29568.

The previous prime is 120049. The next prime is 120067. The reversal of 120060 is 60021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120067) by changing a digit.

120060 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4126 + ... + 4154.

It is an arithmetic number, because the mean of its divisors is an integer number (5460).

120060 is a Friedman number, since it can be written as 20010*6, using all its digits and the basic arithmetic operations.

2120060 is an apocalyptic number.

120060 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 120060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560).

120060 is an abundant number, since it is smaller than the sum of its proper divisors (273060).

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

120060 is a wasteful number, since it uses less digits than its factorization.

120060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 120060 is about 346.4967532315. The cubic root of 120060 is about 49.3324608238.

Adding to 120060 its reverse (60021), we get a palindrome (180081).

The spelling of 120060 in words is "one hundred twenty thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 29 30 36 45 46 58 60 69 87 90 92 115 116 138 145 174 180 207 230 261 276 290 345 348 414 435 460 522 580 667 690 828 870 1035 1044 1305 1334 1380 1740 2001 2070 2610 2668 3335 4002 4140 5220 6003 6670 8004 10005 12006 13340 20010 24012 30015 40020 60030 120060