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2121088 = 2773227
BaseRepresentation
bin1000000101110110000000
310222202120211
420011312000
51020333323
6113243504
724012634
oct10056600
93882524
102121088
111219672
12863594
135935a8
143d2dc4
152bd70d
hex205d80

2121088 has 32 divisors (see below), whose sum is σ = 4302360. Its totient is φ = 1041408.

The previous prime is 2121043. The next prime is 2121121. The reversal of 2121088 is 8801212.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 9231 + ... + 9457.

22121088 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 2121088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151180).

2121088 is an abundant number, since it is smaller than the sum of its proper divisors (2181272).

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

2121088 is an equidigital number, since it uses as much as digits as its factorization.

2121088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 2121088 is about 1456.3955506661. The cubic root of 2121088 is about 128.4851381016.

The spelling of 2121088 in words is "two million, one hundred twenty-one thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 64 73 128 146 227 292 454 584 908 1168 1816 2336 3632 4672 7264 9344 14528 16571 29056 33142 66284 132568 265136 530272 1060544 2121088