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2389968 = 243272371
BaseRepresentation
bin1001000111011111010000
311111102102100
421013133100
51102434333
6123120400
726212560
oct11073720
94442370
102389968
111392689
12973100
13658aa9
14462da0
15323213
hex2477d0

2389968 has 60 divisors (see below), whose sum is σ = 7647328. Its totient is φ = 682560.

The previous prime is 2389967. The next prime is 2389969. The reversal of 2389968 is 8699832.

2389968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2389967) and next prime (2389969).

It is a nude number because it is divisible by every one of its digits.

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 (2389967) 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 11 ways as a sum of consecutive naturals, for example, 178 + ... + 2193.

22389968 is an apocalyptic number.

2389968 is a gapful number since it is divisible by the number (28) 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 2389968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823664).

2389968 is an abundant number, since it is smaller than the sum of its proper divisors (5257360).

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

2389968 is a wasteful number, since it uses less digits than its factorization.

2389968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2383 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 2389968 is about 1545.9521337997. The cubic root of 2389968 is about 133.6997808379.

The spelling of 2389968 in words is "two million, three hundred eighty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2371 4742 7113 9484 14226 16597 18968 21339 28452 33194 37936 42678 49791 56904 66388 85356 99582 113808 132776 149373 170712 199164 265552 298746 341424 398328 597492 796656 1194984 2389968