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2126080 = 28511151
BaseRepresentation
bin1000000111000100000000
311000000102201
420013010000
51021013310
6113322544
724033325
oct10070400
94000381
102126080
1112223a0
12866454
13595948
143d4b4c
152bee3a
hex207100

2126080 has 72 divisors (see below), whose sum is σ = 5592384. Its totient is φ = 768000.

The previous prime is 2126063. The next prime is 2126087. The reversal of 2126080 is 806212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2126087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14005 + ... + 14155.

It is an arithmetic number, because the mean of its divisors is an integer number (77672).

22126080 is an apocalyptic number.

2126080 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 2126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796192).

2126080 is an abundant number, since it is smaller than the sum of its proper divisors (3466304).

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

2126080 is a wasteful number, since it uses less digits than its factorization.

2126080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2126080 is about 1458.1083635999. The cubic root of 2126080 is about 128.5858561117.

The spelling of 2126080 in words is "two million, one hundred twenty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 151 160 176 220 256 302 320 352 440 604 640 704 755 880 1208 1280 1408 1510 1661 1760 2416 2816 3020 3322 3520 4832 6040 6644 7040 8305 9664 12080 13288 14080 16610 19328 24160 26576 33220 38656 48320 53152 66440 96640 106304 132880 193280 212608 265760 425216 531520 1063040 2126080