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2090912 = 25192181
BaseRepresentation
bin111111110011110100000
310221020012012
413332132200
51013402122
6112452052
723525645
oct7763640
93836165
102090912
1111a8a2a
1284a028
13582935
143c5dcc
152b47e2
hex1fe7a0

2090912 has 36 divisors (see below), whose sum is σ = 4368546. Its totient is φ = 984960.

The previous prime is 2090873. The next prime is 2090923. The reversal of 2090912 is 2190902.

It can be written as a sum of positive squares in only one way, i.e., 2085136 + 5776 = 1444^2 + 76^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11462 + ... + 11642.

22090912 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 2090912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184273).

2090912 is an abundant number, since it is smaller than the sum of its proper divisors (2277634).

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

2090912 is a wasteful number, since it uses less digits than its factorization.

2090912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 2090912 is about 1445.9986168735. The cubic root of 2090912 is about 127.8729207516.

The spelling of 2090912 in words is "two million, ninety thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 76 152 181 304 361 362 608 722 724 1444 1448 2888 2896 3439 5776 5792 6878 11552 13756 27512 55024 65341 110048 130682 261364 522728 1045456 2090912