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2166080 = 2657967
BaseRepresentation
bin1000010000110101000000
311002001022012
420100311000
51023303310
6114232052
724261050
oct10206500
94061265
102166080
11124a454
12885628
135aac07
14405560
152cbc05
hex210d40

2166080 has 56 divisors (see below), whose sum is σ = 5900928. Its totient is φ = 741888.

The previous prime is 2166077. The next prime is 2166113. The reversal of 2166080 is 806612.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1757 + ... + 2723.

22166080 is an apocalyptic number.

2166080 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 2166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950464).

2166080 is an abundant number, since it is smaller than the sum of its proper divisors (3734848).

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

2166080 is an equidigital number, since it uses as much as digits as its factorization.

2166080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2166080 is about 1471.7608501384. The cubic root of 2166080 is about 129.3872544733.

The spelling of 2166080 in words is "two million, one hundred sixty-six thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 967 1120 1934 2240 3868 4835 6769 7736 9670 13538 15472 19340 27076 30944 33845 38680 54152 61888 67690 77360 108304 135380 154720 216608 270760 309440 433216 541520 1083040 2166080