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2676113440 = 255731121331
BaseRepresentation
bin1001111110000010…
…0100000000100000
320220111120122111121
42133200210000200
520440041112230
61121314222024
7123213406000
oct23740440040
96814518447
102676113440
111153661700
12628284914
133385722a0
141b55b6000
15109e1777a
hex9f824020

2676113440 has 576 divisors, whose sum is σ = 9009100800. Its totient is φ = 745113600.

The previous prime is 2676113431. The next prime is 2676113443. The reversal of 2676113440 is 443116762.

It is a junction number, because it is equal to n+sod(n) for n = 2676113396 and 2676113405.

It is not an unprimeable number, because it can be changed into a prime (2676113443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86326225 + ... + 86326255.

It is an arithmetic number, because the mean of its divisors is an integer number (15640800).

Almost surely, 22676113440 is an apocalyptic number.

2676113440 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 2676113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504550400).

2676113440 is an abundant number, since it is smaller than the sum of its proper divisors (6332987360).

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

2676113440 is a wasteful number, since it uses less digits than its factorization.

2676113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 2676113440 is about 51731.1650748367. The cubic root of 2676113440 is about 1388.3581255528.

The spelling of 2676113440 in words is "two billion, six hundred seventy-six million, one hundred thirteen thousand, four hundred forty".