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120240 = 24325167
BaseRepresentation
bin11101010110110000
320002221100
4131112300
512321430
62324400
71010361
oct352660
9202840
10120240
118237a
1259700
1342963
1431b68
1525960
hex1d5b0

120240 has 60 divisors (see below), whose sum is σ = 406224. Its totient is φ = 31872.

The previous prime is 120233. The next prime is 120247. The reversal of 120240 is 42021.

Adding to 120240 its reverse (42021), we get a palindrome (162261).

It is an interprime number because it is at equal distance from previous prime (120233) and next prime (120247).

It is a tau number, because it is divible by the number of its divisors (60).

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

It is not an unprimeable number, because it can be changed into a prime (120247) by changing a digit.

120240 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 11 ways as a sum of consecutive naturals, for example, 637 + ... + 803.

2120240 is an apocalyptic number.

120240 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 120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203112).

120240 is an abundant number, since it is smaller than the sum of its proper divisors (285984).

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

120240 is a wasteful number, since it uses less digits than its factorization.

120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 120240 is about 346.7563986432. The cubic root of 120240 is about 49.3571024167.

The spelling of 120240 in words is "one hundred twenty thousand, two hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 167 180 240 334 360 501 668 720 835 1002 1336 1503 1670 2004 2505 2672 3006 3340 4008 5010 6012 6680 7515 8016 10020 12024 13360 15030 20040 24048 30060 40080 60120 120240