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2873360880 = 243251319107151
BaseRepresentation
bin1010101101000100…
…0000000111110000
321102020201212010100
42223101000013300
521341040022010
61153042032400
7131130110265
oct25321000760
97366655110
102873360880
111244a34615
12682348700
1336a3a4750
141d387d26c
1511c3cb2c0
hexab4401f0

2873360880 has 480 divisors, whose sum is σ = 11114288640. Its totient is φ = 659404800.

The previous prime is 2873360873. The next prime is 2873360887. The reversal of 2873360880 is 880633782.

2873360880 is a `hidden beast` number, since 2 + 8 + 7 + 33 + 608 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2873360873) and next prime (2873360887).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2873360887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19028805 + ... + 19028955.

It is an arithmetic number, because the mean of its divisors is an integer number (23154768).

Almost surely, 22873360880 is an apocalyptic number.

2873360880 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 2873360880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5557144320).

2873360880 is an abundant number, since it is smaller than the sum of its proper divisors (8240927760).

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

2873360880 is a wasteful number, since it uses less digits than its factorization.

2873360880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2873360880 is about 53603.7394217978. The cubic root of 2873360880 is about 1421.6632101926.

The spelling of 2873360880 in words is "two billion, eight hundred seventy-three million, three hundred sixty thousand, eight hundred eighty".