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2890440 = 2332573137
BaseRepresentation
bin1011000001101011001000
312102211221100
423001223020
51214443230
6141541400
733365640
oct13015310
95384840
102890440
1116a46a3
12b74860
137a2827
14553520
153c1660
hex2c1ac8

2890440 has 192 divisors, whose sum is σ = 11381760. Its totient is φ = 622080.

The previous prime is 2890439. The next prime is 2890441. The reversal of 2890440 is 440982.

It is an interprime number because it is at equal distance from previous prime (2890439) and next prime (2890441).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2890441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78102 + ... + 78138.

It is an arithmetic number, because the mean of its divisors is an integer number (59280).

22890440 is an apocalyptic number.

2890440 is a gapful number since it is divisible by the number (20) 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 2890440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5690880).

2890440 is an abundant number, since it is smaller than the sum of its proper divisors (8491320).

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

2890440 is a wasteful number, since it uses less digits than its factorization.

2890440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2890440 is about 1700.1294068394. The cubic root of 2890440 is about 142.4474413742.

The spelling of 2890440 in words is "two million, eight hundred ninety thousand, four hundred forty".