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2126000 = 24531063
BaseRepresentation
bin1000000111000010110000
311000000022202
420013002300
51021013000
6113322332
724033152
oct10070260
94000282
102126000
111222328
128663a8
135958b6
143d4ad2
152bedd5
hex2070b0

2126000 has 40 divisors (see below), whose sum is σ = 5145504. Its totient is φ = 849600.

The previous prime is 2125993. The next prime is 2126017. The reversal of 2126000 is 6212.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 1469 + ... + 2531.

22126000 is an apocalyptic number.

2126000 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 2126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572752).

2126000 is an abundant number, since it is smaller than the sum of its proper divisors (3019504).

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

2126000 is a wasteful number, since it uses less digits than its factorization.

2126000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2126000 is about 1458.0809305385. The cubic root of 2126000 is about 128.5842432847.

The spelling of 2126000 in words is "two million, one hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1063 2000 2126 4252 5315 8504 10630 17008 21260 26575 42520 53150 85040 106300 132875 212600 265750 425200 531500 1063000 2126000