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2102163840 = 2735571931
BaseRepresentation
bin111110101001100…
…0111100110000000
312102111120222200000
41331103013212000
513301123220330
6544332400000
7103044045360
oct17523074600
95374528600
102102163840
11989686897
124a8016000
13276697a3a
1415d2909a0
15c4843560
hex7d4c7980

2102163840 has 384 divisors, whose sum is σ = 8607755520. Its totient is φ = 480245760.

The previous prime is 2102163839. The next prime is 2102163871. The reversal of 2102163840 is 483612012.

2102163840 is a `hidden beast` number, since 2 + 1 + 0 + 21 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×21021638403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1087675 + ... + 1089605.

It is an arithmetic number, because the mean of its divisors is an integer number (22416030).

Almost surely, 22102163840 is an apocalyptic number.

2102163840 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 2102163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303877760).

2102163840 is an abundant number, since it is smaller than the sum of its proper divisors (6505591680).

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

2102163840 is an equidigital number, since it uses as much as digits as its factorization.

2102163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2102163840 is about 45849.3603008810. The cubic root of 2102163840 is about 1281.0188502620.

Adding to 2102163840 its reverse (483612012), we get a palindrome (2585775852).

The spelling of 2102163840 in words is "two billion, one hundred two million, one hundred sixty-three thousand, eight hundred forty".