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1840680000 = 2632545113
BaseRepresentation
bin110110110110110…
…1000110001000000
311202021120020021100
41231231220301000
512232203230000
6502352054400
763420343665
oct15555506100
94667506240
101840680000
1186501a145
12434534400
13234464283
14136665a6c
15ab8e1a00
hex6db68c40

1840680000 has 210 divisors, whose sum is σ = 6594150134. Its totient is φ = 490752000.

The previous prime is 1840679987. The next prime is 1840680001. The reversal of 1840680000 is 860481.

It can be written as a sum of positive squares in 5 ways, for example, as 1336048704 + 504631296 = 36552^2 + 22464^2 .

It is not an unprimeable number, because it can be changed into a prime (1840680001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 357444 + ... + 362556.

Almost surely, 21840680000 is an apocalyptic number.

1840680000 is a gapful number since it is divisible by the number (10) 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 1840680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297075067).

1840680000 is an abundant number, since it is smaller than the sum of its proper divisors (4753470134).

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

1840680000 is an equidigital number, since it uses as much as digits as its factorization.

1840680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5151 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1840680000 is about 42903.1467377394. The cubic root of 1840680000 is about 1225.5360696951.

The spelling of 1840680000 in words is "one billion, eight hundred forty million, six hundred eighty thousand".