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2131580 = 225119689
BaseRepresentation
bin1000001000011001111100
311000021222102
420020121330
51021202310
6113404232
724055343
oct10103174
94007872
102131580
111226540
12869678
135982b9
143d6b5a
152c18a5
hex20867c

2131580 has 24 divisors (see below), whose sum is σ = 4883760. Its totient is φ = 775040.

The previous prime is 2131573. The next prime is 2131601. The reversal of 2131580 is 851312.

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

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, 4625 + ... + 5064.

It is an arithmetic number, because the mean of its divisors is an integer number (203490).

22131580 is an apocalyptic number.

2131580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131580 is an abundant number, since it is smaller than the sum of its proper divisors (2752180).

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

2131580 is a wasteful number, since it uses less digits than its factorization.

2131580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9709 (or 9707 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 2131580 is about 1459.9931506689. The cubic root of 2131580 is about 128.6966410996.

Adding to 2131580 its sum of digits (20), we get a square (2131600 = 14602).

Adding to 2131580 its reverse (851312), we get a palindrome (2982892).

The spelling of 2131580 in words is "two million, one hundred thirty-one thousand, five hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 9689 19378 38756 48445 96890 106579 193780 213158 426316 532895 1065790 2131580