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2890112 = 2767337
BaseRepresentation
bin1011000001100110000000
312102211111012
423001212000
51214440422
6141540052
733364661
oct13014600
95384435
102890112
1116a4425
12b74628
137a2634
14553368
153c14e2
hex2c1980

2890112 has 32 divisors (see below), whose sum is σ = 5860920. Its totient is φ = 1419264.

The previous prime is 2890103. The next prime is 2890117. The reversal of 2890112 is 2110982.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2890117) 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 3 ways as a sum of consecutive naturals, for example, 8408 + ... + 8744.

22890112 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 2890112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930460).

2890112 is an abundant number, since it is smaller than the sum of its proper divisors (2970808).

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

2890112 is an equidigital number, since it uses as much as digits as its factorization.

2890112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 2890112 is about 1700.0329408573. The cubic root of 2890112 is about 142.4420529757.

The spelling of 2890112 in words is "two million, eight hundred ninety thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 337 536 674 1072 1348 2144 2696 4288 5392 8576 10784 21568 22579 43136 45158 90316 180632 361264 722528 1445056 2890112