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2131760 = 24526647
BaseRepresentation
bin1000001000011100110000
311000022020002
420020130300
51021204020
6113405132
724056021
oct10103460
94008202
102131760
111226694
128697a8
135983c7
143d6c48
152c1975
hex208730

2131760 has 20 divisors (see below), whose sum is σ = 4956528. Its totient is φ = 852672.

The previous prime is 2131721. The next prime is 2131771. The reversal of 2131760 is 671312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

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

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 3 ways as a sum of consecutive naturals, for example, 13244 + ... + 13403.

22131760 is an apocalyptic number.

2131760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131760 is an abundant number, since it is smaller than the sum of its proper divisors (2824768).

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

2131760 is a wasteful number, since it uses less digits than its factorization.

2131760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26660 (or 26654 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 2131760 is about 1460.0547934924. The cubic root of 2131760 is about 128.7002635679.

The spelling of 2131760 in words is "two million, one hundred thirty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26647 53294 106588 133235 213176 266470 426352 532940 1065880 2131760