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2890576 = 241321069
BaseRepresentation
bin1011000001101101010000
312102212010101
423001231100
51214444301
6141542144
733366223
oct13015520
95385111
102890576
1116a4807
12b74954
137a2900
145535ba
153c1701
hex2c1b50

2890576 has 30 divisors (see below), whose sum is σ = 6070110. Its totient is φ = 1332864.

The previous prime is 2890529. The next prime is 2890577. The reversal of 2890576 is 6750982.

It can be written as a sum of positive squares in 3 ways, for example, as 576 + 2890000 = 24^2 + 1700^2 .

It is a super-2 number, since 2×28905762 = 16710859223552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2890577) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2170 + ... + 3238.

It is an arithmetic number, because the mean of its divisors is an integer number (202337).

22890576 is an apocalyptic number.

2890576 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 2890576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035055).

2890576 is an abundant number, since it is smaller than the sum of its proper divisors (3179534).

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

2890576 is a wasteful number, since it uses less digits than its factorization.

2890576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 2890576 is about 1700.1694033243. The cubic root of 2890576 is about 142.4496754687.

The spelling of 2890576 in words is "two million, eight hundred ninety thousand, five hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1069 1352 2138 2704 4276 8552 13897 17104 27794 55588 111176 180661 222352 361322 722644 1445288 2890576