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2126292 = 2237171489
BaseRepresentation
bin1000000111000111010100
311000000201120
420013013110
51021020132
6113323540
724034050
oct10070724
94000646
102126292
111222573
128665b0
13595a7c
143d4c60
152c002c
hex2071d4

2126292 has 48 divisors (see below), whose sum is σ = 6007680. Its totient is φ = 571392.

The previous prime is 2126273. The next prime is 2126297. The reversal of 2126292 is 2926212.

It is a super-2 number, since 2×21262922 = 9042235338528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 684 + ... + 2172.

It is an arithmetic number, because the mean of its divisors is an integer number (125160).

22126292 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2126292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003840).

2126292 is an abundant number, since it is smaller than the sum of its proper divisors (3881388).

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

2126292 is a wasteful number, since it uses less digits than its factorization.

2126292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1518 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 2126292 is about 1458.1810587166. The cubic root of 2126292 is about 128.5901299075.

The spelling of 2126292 in words is "two million, one hundred twenty-six thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 1489 2978 4467 5956 8934 10423 17868 20846 25313 31269 41692 50626 62538 75939 101252 125076 151878 177191 303756 354382 531573 708764 1063146 2126292