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2328120 = 2332529223
BaseRepresentation
bin1000111000011000111000
311101021120200
420320120320
51043444440
6121522200
725534344
oct10703070
94337520
102328120
111350173
12943360
136368b2
14448624
1530ec30
hex238638

2328120 has 96 divisors (see below), whose sum is σ = 7862400. Its totient is φ = 596736.

The previous prime is 2328119. The next prime is 2328143. The reversal of 2328120 is 218232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2328093 and 2328102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10329 + ... + 10551.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

22328120 is an apocalyptic number.

2328120 is a gapful number since it is divisible by the number (20) 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 2328120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931200).

2328120 is an abundant number, since it is smaller than the sum of its proper divisors (5534280).

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

2328120 is a wasteful number, since it uses less digits than its factorization.

2328120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2328120 is about 1525.8178135020. The cubic root of 2328120 is about 132.5363849288.

The spelling of 2328120 in words is "two million, three hundred twenty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 223 232 261 290 348 360 435 446 522 580 669 696 870 892 1044 1115 1160 1305 1338 1740 1784 2007 2088 2230 2610 2676 3345 3480 4014 4460 5220 5352 6467 6690 8028 8920 10035 10440 12934 13380 16056 19401 20070 25868 26760 32335 38802 40140 51736 58203 64670 77604 80280 97005 116406 129340 155208 194010 232812 258680 291015 388020 465624 582030 776040 1164060 2328120