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2390896 = 24237389
BaseRepresentation
bin1001000111101101110000
311111110200201
421013231300
51103002041
6123124544
726215354
oct11075560
94443621
102390896
111393352
12973754
13659341
14463464
15323631
hex247b70

2390896 has 40 divisors (see below), whose sum is σ = 4955040. Its totient is φ = 1115136.

The previous prime is 2390893. The next prime is 2390909. The reversal of 2390896 is 6980932.

2390896 = T103 + T104 + ... + T248.

2390896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2390893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26820 + ... + 26908.

It is an arithmetic number, because the mean of its divisors is an integer number (123876).

22390896 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 2390896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477520).

2390896 is an abundant number, since it is smaller than the sum of its proper divisors (2564144).

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

2390896 is a wasteful number, since it uses less digits than its factorization.

2390896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 2390896 is about 1546.2522433290. The cubic root of 2390896 is about 133.7170833487.

The spelling of 2390896 in words is "two million, three hundred ninety thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 23 46 73 89 92 146 178 184 292 356 368 584 712 1168 1424 1679 2047 3358 4094 6497 6716 8188 12994 13432 16376 25988 26864 32752 51976 103952 149431 298862 597724 1195448 2390896