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2166320 = 245132083
BaseRepresentation
bin1000010000111000110000
311002001122002
420100320300
51023310240
6114233132
724261542
oct10207060
94061562
102166320
11124a652
128857a8
135ab060
14405692
152cbd15
hex210e30

2166320 has 40 divisors (see below), whose sum is σ = 5426736. Its totient is φ = 799488.

The previous prime is 2166319. The next prime is 2166403. The reversal of 2166320 is 236612.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2166292 and 2166301.

It is an unprimeable number.

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, 2 + ... + 2081.

22166320 is an apocalyptic number.

2166320 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 2166320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713368).

2166320 is an abundant number, since it is smaller than the sum of its proper divisors (3260416).

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

2166320 is a wasteful number, since it uses less digits than its factorization.

2166320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2166320 is about 1471.8423828658. The cubic root of 2166320 is about 129.3920329663.

The spelling of 2166320 in words is "two million, one hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2083 4166 8332 10415 16664 20830 27079 33328 41660 54158 83320 108316 135395 166640 216632 270790 433264 541580 1083160 2166320