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120540 = 22357241
BaseRepresentation
bin11101011011011100
320010100110
4131123130
512324130
62330020
71011300
oct353334
9203313
10120540
1182622
1259910
1342b34
1431d00
1525ab0
hex1d6dc

120540 has 72 divisors (see below), whose sum is σ = 402192. Its totient is φ = 26880.

The previous prime is 120539. The next prime is 120551. The reversal of 120540 is 45021.

It is a Harshad number since it is a multiple of its sum of digits (12).

120540 is a modest number, since divided by 540 gives 120 as remainder.

It is a congruent number.

It is an unprimeable 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, 2920 + ... + 2960.

It is an arithmetic number, because the mean of its divisors is an integer number (5586).

2120540 is an apocalyptic number.

120540 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 120540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201096).

120540 is an abundant number, since it is smaller than the sum of its proper divisors (281652).

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

120540 is a wasteful number, since it uses less digits than its factorization.

120540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 120540 is about 347.1887094938. The cubic root of 120540 is about 49.3981171459.

Adding to 120540 its reverse (45021), we get a palindrome (165561).

The spelling of 120540 in words is "one hundred twenty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 49 60 70 82 84 98 105 123 140 147 164 196 205 210 245 246 287 294 410 420 490 492 574 588 615 735 820 861 980 1148 1230 1435 1470 1722 2009 2460 2870 2940 3444 4018 4305 5740 6027 8036 8610 10045 12054 17220 20090 24108 30135 40180 60270 120540