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120330 = 23257191
BaseRepresentation
bin11101011000001010
320010001200
4131120022
512322310
62325030
71010550
oct353012
9203050
10120330
1182451
1259776
1342a02
1431bd0
15259c0
hex1d60a

120330 has 48 divisors (see below), whose sum is σ = 359424. Its totient is φ = 27360.

The previous prime is 120319. The next prime is 120331. The reversal of 120330 is 33021.

It is a happy number.

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 (120331) by changing a digit.

120330 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 23 ways as a sum of consecutive naturals, for example, 535 + ... + 725.

It is an arithmetic number, because the mean of its divisors is an integer number (7488).

2120330 is an apocalyptic number.

120330 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 120330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179712).

120330 is an abundant number, since it is smaller than the sum of its proper divisors (239094).

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

120330 is a wasteful number, since it uses less digits than its factorization.

120330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 120330 is about 346.8861484695. The cubic root of 120330 is about 49.3694139918.

Adding to 120330 its reverse (33021), we get a palindrome (153351).

The spelling of 120330 in words is "one hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 191 210 315 382 573 630 955 1146 1337 1719 1910 2674 2865 3438 4011 5730 6685 8022 8595 12033 13370 17190 20055 24066 40110 60165 120330