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1909039104 = 213357137
BaseRepresentation
bin111000111001001…
…1010000000000000
311221001012020100000
41301302122000000
512402203222404
6513233200000
765210364450
oct16162320000
94831166300
101909039104
1189a66a375
12453400000
13245679c4b
1414177bd60
15b28e6339
hex71c9a000

1909039104 has 336 divisors, whose sum is σ = 6583606848. Its totient is φ = 541458432.

The previous prime is 1909039081. The next prime is 1909039141. The reversal of 1909039104 is 4019309091.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×19090391042 = 7288860601202245632, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 13934524 + ... + 13934660.

It is an arithmetic number, because the mean of its divisors is an integer number (19594068).

Almost surely, 21909039104 is an apocalyptic number.

1909039104 is a gapful number since it is divisible by the number (14) 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 1909039104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291803424).

1909039104 is an abundant number, since it is smaller than the sum of its proper divisors (4674567744).

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

1909039104 is an frugal number, since it uses more digits than its factorization.

1909039104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 1909039104 is about 43692.5520426537. The cubic root of 1909039104 is about 1240.5233448202.

The spelling of 1909039104 in words is "one billion, nine hundred nine million, thirty-nine thousand, one hundred four".