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2104327680 = 29357133011
BaseRepresentation
bin111110101101101…
…0111111000000000
312102122122220220020
41331123113320000
513302201441210
6544451013440
7103101330060
oct17533277000
95378586806
102104327680
1198a924594
124a889a280
13276c74910
1415d6953a0
15c4b1e770
hex7d6d7e00

2104327680 has 320 divisors, whose sum is σ = 8282469888. Its totient is φ = 443842560.

The previous prime is 2104327657. The next prime is 2104327699. The reversal of 2104327680 is 867234012.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 697375 + ... + 700385.

Almost surely, 22104327680 is an apocalyptic number.

2104327680 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 2104327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4141234944).

2104327680 is an abundant number, since it is smaller than the sum of its proper divisors (6178142208).

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

2104327680 is a wasteful number, since it uses less digits than its factorization.

2104327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2104327680 is about 45872.9515073970. The cubic root of 2104327680 is about 1281.4582339164.

The spelling of 2104327680 in words is "two billion, one hundred four million, three hundred twenty-seven thousand, six hundred eighty".