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2180386080 = 253355389107
BaseRepresentation
bin1000000111110110…
…0000110100100000
312121221210002102000
42001331200310200
513431134323310
61000205124000
7105013655505
oct20175406440
95557702360
102180386080
11a19853374
1250a259600
13289954ba2
141698134ac
15cb6454c0
hex81f60d20

2180386080 has 384 divisors, whose sum is σ = 7936185600. Its totient is φ = 558784512.

The previous prime is 2180386069. The next prime is 2180386121. The reversal of 2180386080 is 806830812.

2180386080 is a `hidden beast` number, since 2 + 18 + 0 + 38 + 608 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20377387 + ... + 20377493.

It is an arithmetic number, because the mean of its divisors is an integer number (20667150).

Almost surely, 22180386080 is an apocalyptic number.

2180386080 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 2180386080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3968092800).

2180386080 is an abundant number, since it is smaller than the sum of its proper divisors (5755799520).

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

2180386080 is a wasteful number, since it uses less digits than its factorization.

2180386080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2180386080 is about 46694.6043992237. The cubic root of 2180386080 is about 1296.7147977308.

The spelling of 2180386080 in words is "two billion, one hundred eighty million, three hundred eighty-six thousand, eighty".