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2305051840 = 26571326089
BaseRepresentation
bin1000100101100100…
…0100110011000000
312221122100202200101
42021121010303000
514210043124330
61020421132144
7111056421520
oct21131046300
95848322611
102305051840
11a83161623
12543b5a054
132a9723700
1417c1c5680
15d756d4ca
hex89644cc0

2305051840 has 168 divisors, whose sum is σ = 6793809120. Its totient is φ = 729391104.

The previous prime is 2305051831. The next prime is 2305051843. The reversal of 2305051840 is 481505032.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2305051799 and 2305051808.

It is not an unprimeable number, because it can be changed into a prime (2305051843) 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 23 ways as a sum of consecutive naturals, for example, 375516 + ... + 381604.

It is an arithmetic number, because the mean of its divisors is an integer number (40439340).

Almost surely, 22305051840 is an apocalyptic number.

2305051840 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 2305051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396904560).

2305051840 is an abundant number, since it is smaller than the sum of its proper divisors (4488757280).

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

2305051840 is a wasteful number, since it uses less digits than its factorization.

2305051840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6139 (or 6116 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 2305051840 is about 48010.9554164464. The cubic root of 2305051840 is about 1320.9718585144.

Adding to 2305051840 its reverse (481505032), we get a palindrome (2786556872).

The spelling of 2305051840 in words is "two billion, three hundred five million, fifty-one thousand, eight hundred forty".