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2126656 = 26747101
BaseRepresentation
bin1000000111001101000000
311000001020001
420013031000
51021023111
6113325344
724035110
oct10071500
94001201
102126656
111222874
12866854
13595c9c
143d5040
152c01c1
hex207340

2126656 has 56 divisors (see below), whose sum is σ = 4974336. Its totient is φ = 883200.

The previous prime is 2126639. The next prime is 2126659. The reversal of 2126656 is 6566212.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126659) by changing a digit.

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, 21006 + ... + 21106.

22126656 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 2126656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487168).

2126656 is an abundant number, since it is smaller than the sum of its proper divisors (2847680).

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

2126656 is a wasteful number, since it uses less digits than its factorization.

2126656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 157 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 2126656 is about 1458.3058664080. The cubic root of 2126656 is about 128.5974672718.

The spelling of 2126656 in words is "two million, one hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 101 112 188 202 224 329 376 404 448 658 707 752 808 1316 1414 1504 1616 2632 2828 3008 3232 4747 5264 5656 6464 9494 10528 11312 18988 21056 22624 33229 37976 45248 66458 75952 132916 151904 265832 303808 531664 1063328 2126656