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120270 = 23519211
BaseRepresentation
bin11101010111001110
320002222110
4131113032
512322040
62324450
71010433
oct352716
9202873
10120270
11823a7
1259726
1342987
1431b8a
1525980
hex1d5ce

120270 has 32 divisors (see below), whose sum is σ = 305280. Its totient is φ = 30240.

The previous prime is 120247. The next prime is 120277. The reversal of 120270 is 72021.

120270 is a modest number, since divided by 270 gives 120 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120277) by changing a digit.

120270 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 15 ways as a sum of consecutive naturals, for example, 465 + ... + 675.

It is an arithmetic number, because the mean of its divisors is an integer number (9540).

2120270 is an apocalyptic number.

120270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152640).

120270 is an abundant number, since it is smaller than the sum of its proper divisors (185010).

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

120270 is a wasteful number, since it uses less digits than its factorization.

120270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240.

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 120270 is about 346.7996539791. The cubic root of 120270 is about 49.3612069575.

Adding to 120270 its reverse (72021), we get a palindrome (192291).

It can be divided in two parts, 120 and 270, that multiplied together give a square (32400 = 1802).

The spelling of 120270 in words is "one hundred twenty thousand, two hundred seventy", and thus it is an iban number.

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 211 285 422 570 633 1055 1266 2110 3165 4009 6330 8018 12027 20045 24054 40090 60135 120270