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2104421760 = 273257194167
BaseRepresentation
bin111110101101110…
…1110110110000000
312102122211200221200
41331123232312000
513302212444020
6544453021200
7103102201260
oct17533566600
95378750850
102104421760
1198a989241
124a8924800
13276ca869c
1415d6bb7a0
15c4b3c590
hex7d6eed80

2104421760 has 768 divisors, whose sum is σ = 9088934400. Its totient is φ = 437944320.

The previous prime is 2104421729. The next prime is 2104421771. The reversal of 2104421760 is 671244012.

2104421760 is a `hidden beast` number, since 210 + 442 + 1 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×21044217602 = 8857181887922995200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31409247 + ... + 31409313.

It is an arithmetic number, because the mean of its divisors is an integer number (11834550).

Almost surely, 22104421760 is an apocalyptic number.

2104421760 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 2104421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4544467200).

2104421760 is an abundant number, since it is smaller than the sum of its proper divisors (6984512640).

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

2104421760 is a wasteful number, since it uses less digits than its factorization.

2104421760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2104421760 is about 45873.9769368212. The cubic root of 2104421760 is about 1281.4773307195.

Adding to 2104421760 its reverse (671244012), we get a palindrome (2775665772).

The spelling of 2104421760 in words is "two billion, one hundred four million, four hundred twenty-one thousand, seven hundred sixty".