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2423715840 = 211325713172
BaseRepresentation
bin1001000001110110…
…1111100000000000
320020220122112002100
42100131233200000
514430432401330
61040300350400
7114030146640
oct22035574000
96226575070
102423715840
111034140647
12577845400
132c81a04b0
1418dc74520
15e2bad060
hex9076f800

2423715840 has 864 divisors, whose sum is σ = 10982593440. Its totient is φ = 481296384.

The previous prime is 2423715799. The next prime is 2423715859. The reversal of 2423715840 is 485173242.

It is a happy number.

2423715840 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 71 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2423715795 and 2423715804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 142571512 + ... + 142571528.

It is an arithmetic number, because the mean of its divisors is an integer number (12711335).

Almost surely, 22423715840 is an apocalyptic number.

2423715840 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 2423715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5491296720).

2423715840 is an abundant number, since it is smaller than the sum of its proper divisors (8558877600).

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

2423715840 is a wasteful number, since it uses less digits than its factorization.

2423715840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2423715840 is about 49231.2486130506. The cubic root of 2423715840 is about 1343.2614990448.

The spelling of 2423715840 in words is "two billion, four hundred twenty-three million, seven hundred fifteen thousand, eight hundred forty".