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2327120 = 245191531
BaseRepresentation
bin1000111000001001010000
311101020012122
420320021100
51043431440
6121513412
725531415
oct10701120
94336178
102327120
11134a444
12942868
136362c3
1444810c
1530e7b5
hex238250

2327120 has 40 divisors (see below), whose sum is σ = 5699040. Its totient is φ = 881280.

The previous prime is 2327107. The next prime is 2327123. The reversal of 2327120 is 217232.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2327123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 755 + ... + 2285.

It is an arithmetic number, because the mean of its divisors is an integer number (142476).

22327120 is an apocalyptic number.

2327120 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 2327120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849520).

2327120 is an abundant number, since it is smaller than the sum of its proper divisors (3371920).

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

2327120 is a wasteful number, since it uses less digits than its factorization.

2327120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 2327120 is about 1525.4900851857. The cubic root of 2327120 is about 132.5174060437.

The spelling of 2327120 in words is "two million, three hundred twenty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 1531 3062 6124 7655 12248 15310 24496 29089 30620 58178 61240 116356 122480 145445 232712 290890 465424 581780 1163560 2327120