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2126696 = 23112133
BaseRepresentation
bin1000000111001101101000
311000001021112
420013031220
51021023241
6113325452
724035165
oct10071550
94001245
102126696
111222900
12866888
13596000
143d506c
152c01eb
hex207368

2126696 has 48 divisors (see below), whose sum is σ = 4748100. Its totient is φ = 892320.

The previous prime is 2126687. The next prime is 2126749. The reversal of 2126696 is 6966212.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 662596 + 1464100 = 814^2 + 1210^2 .

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163586 + ... + 163598.

22126696 is an apocalyptic number.

2126696 is a gapful number since it is divisible by the number (26) 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 2126696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374050).

2126696 is an abundant number, since it is smaller than the sum of its proper divisors (2621404).

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

2126696 is a wasteful number, since it uses less digits than its factorization.

2126696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 26 counting only the distinct ones).

The product of its digits is 7776, while the sum is 32.

The square root of 2126696 is about 1458.3195808875. The cubic root of 2126696 is about 128.5982735245.

The spelling of 2126696 in words is "two million, one hundred twenty-six thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 169 242 286 338 484 572 676 968 1144 1352 1573 1859 2197 3146 3718 4394 6292 7436 8788 12584 14872 17576 20449 24167 40898 48334 81796 96668 163592 193336 265837 531674 1063348 2126696