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330120 = 233257131
BaseRepresentation
bin1010000100110001000
3121202211200
41100212020
541030440
611024200
72543310
oct1204610
9552750
10330120
1120602a
1213b060
13b734b
1488440
1567c30
hex50988

330120 has 96 divisors (see below), whose sum is σ = 1235520. Its totient is φ = 74880.

The previous prime is 330103. The next prime is 330131. The reversal of 330120 is 21033.

Adding to 330120 its reverse (21033), we get a palindrome (351153).

It can be divided in two parts, 3301 and 20, that added together give a triangular number (3321 = T81).

It is a happy number.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

330120 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, 2455 + ... + 2585.

It is an arithmetic number, because the mean of its divisors is an integer number (12870).

2330120 is an apocalyptic number.

330120 is a gapful number since it is divisible by the number (30) 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 330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617760).

330120 is an abundant number, since it is smaller than the sum of its proper divisors (905400).

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

330120 is a wasteful number, since it uses less digits than its factorization.

330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 148 counting only the distinct ones).

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

The square root of 330120 is about 574.5607017540. The cubic root of 330120 is about 69.1126075556.

The spelling of 330120 in words is "three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 131 140 168 180 210 252 262 280 315 360 393 420 504 524 630 655 786 840 917 1048 1179 1260 1310 1572 1834 1965 2358 2520 2620 2751 3144 3668 3930 4585 4716 5240 5502 5895 7336 7860 8253 9170 9432 11004 11790 13755 15720 16506 18340 22008 23580 27510 33012 36680 41265 47160 55020 66024 82530 110040 165060 330120