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2109703680 = 293257103127
BaseRepresentation
bin111110110111111…
…1000011000000000
312110000210001101100
41331233320120000
513310041004210
6545202134400
7103165120410
oct17557703000
95400701340
102109703680
11992966667
124aa651400
13278107896
14160294640
15c53325c0
hex7dbf8600

2109703680 has 480 divisors, whose sum is σ = 8497741824. Its totient is φ = 473776128.

The previous prime is 2109703657. The next prime is 2109703691. The reversal of 2109703680 is 863079012.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16611777 + ... + 16611903.

Almost surely, 22109703680 is an apocalyptic number.

2109703680 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 2109703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4248870912).

2109703680 is an abundant number, since it is smaller than the sum of its proper divisors (6388038144).

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

2109703680 is a wasteful number, since it uses less digits than its factorization.

2109703680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2109703680 is about 45931.5107524235. The cubic root of 2109703680 is about 1282.5485680911.

The spelling of 2109703680 in words is "two billion, one hundred nine million, seven hundred three thousand, six hundred eighty".