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2386083840 = 2143571973
BaseRepresentation
bin1000111000111000…
…1100000000000000
320011021211121200120
42032032030000000
514341314140330
61032434020240
7113062243440
oct21616140000
96137747616
102386083840
111014978118
12567117680
132c045573a
14188c7a120
15de727c10
hex8e38c000

2386083840 has 480 divisors, whose sum is σ = 9311070720. Its totient is φ = 509607936.

The previous prime is 2386083839. The next prime is 2386083853. The reversal of 2386083840 is 483806832.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2386083792 and 2386083801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32686044 + ... + 32686116.

It is an arithmetic number, because the mean of its divisors is an integer number (19398064).

Almost surely, 22386083840 is an apocalyptic number.

2386083840 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 2386083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4655535360).

2386083840 is an abundant number, since it is smaller than the sum of its proper divisors (6924986880).

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

2386083840 is an equidigital number, since it uses as much as digits as its factorization.

2386083840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 2386083840 is about 48847.5571548875. The cubic root of 2386083840 is about 1336.2731223555.

The spelling of 2386083840 in words is "two billion, three hundred eighty-six million, eighty-three thousand, eight hundred forty".