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2390112 = 253243193
BaseRepresentation
bin1001000111100001100000
311111102121200
421013201200
51102440422
6123121200
726213154
oct11074140
94442550
102390112
1113927aa
12973200
13658b8a
14463064
153232ac
hex247860

2390112 has 72 divisors (see below), whose sum is σ = 6990984. Its totient is φ = 774144.

The previous prime is 2390111. The next prime is 2390117. The reversal of 2390112 is 2110932.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2390111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12288 + ... + 12480.

It is an arithmetic number, because the mean of its divisors is an integer number (97097).

22390112 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 2390112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495492).

2390112 is an abundant number, since it is smaller than the sum of its proper divisors (4600872).

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

2390112 is a wasteful number, since it uses less digits than its factorization.

2390112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2390112 is about 1545.9987063384. The cubic root of 2390112 is about 133.7024660038.

The spelling of 2390112 in words is "two million, three hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 193 258 288 344 386 387 516 579 688 772 774 1032 1158 1376 1544 1548 1737 2064 2316 3088 3096 3474 4128 4632 6176 6192 6948 8299 9264 12384 13896 16598 18528 24897 27792 33196 49794 55584 66392 74691 99588 132784 149382 199176 265568 298764 398352 597528 796704 1195056 2390112