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2129580 = 2232511831
BaseRepresentation
bin1000000111111010101100
311000012020100
420013322230
51021121310
6113351100
724046455
oct10077254
94005210
102129580
111224a92
12868490
1359740b
143d612c
152c0ec0
hex207eac

2129580 has 36 divisors (see below), whose sum is σ = 6460272. Its totient is φ = 567840.

The previous prime is 2129579. The next prime is 2129587. The reversal of 2129580 is 859212.

2129580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×21295802 = 9070221952800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2129587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5736 + ... + 6095.

It is an arithmetic number, because the mean of its divisors is an integer number (179452).

22129580 is an apocalyptic number.

2129580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2129580 is an abundant number, since it is smaller than the sum of its proper divisors (4330692).

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

2129580 is a wasteful number, since it uses less digits than its factorization.

2129580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11846 (or 11841 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2129580 is about 1459.3080552097. The cubic root of 2129580 is about 128.6563777228.

The spelling of 2129580 in words is "two million, one hundred twenty-nine thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11831 23662 35493 47324 59155 70986 106479 118310 141972 177465 212958 236620 354930 425916 532395 709860 1064790 2129580