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2387381920 = 2557211193147
BaseRepresentation
bin1000111001001100…
…1000111010100000
320011101021120022121
42032103020322200
514342132210140
61032521514024
7113106261100
oct21623107240
96141246277
102387381920
111015684410
12567642914
132c07bb531
141890d7200
15de8d264a
hex8e4c8ea0

2387381920 has 576 divisors, whose sum is σ = 7942717440. Its totient is φ = 667699200.

The previous prime is 2387381911. The next prime is 2387381923. The reversal of 2387381920 is 291837832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2387381923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50795337 + ... + 50795383.

It is an arithmetic number, because the mean of its divisors is an integer number (13789440).

Almost surely, 22387381920 is an apocalyptic number.

2387381920 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 2387381920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3971358720).

2387381920 is an abundant number, since it is smaller than the sum of its proper divisors (5555335520).

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

2387381920 is a wasteful number, since it uses less digits than its factorization.

2387381920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 2387381920 is about 48860.8423996148. The cubic root of 2387381920 is about 1336.5153986927.

The spelling of 2387381920 in words is "two billion, three hundred eighty-seven million, three hundred eighty-one thousand, nine hundred twenty".