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1840363980 = 22357133183131
BaseRepresentation
bin110110110110001…
…1011100111001100
311202020222011202220
41231230123213030
512232113121410
6502341215340
763414556440
oct15554334714
94666864686
101840363980
11864923774
12434401550
13234383490
141365c2820
15ab87d070
hex6db1b9cc

1840363980 has 384 divisors, whose sum is σ = 6676217856. Its totient is φ = 368409600.

The previous prime is 1840363963. The next prime is 1840364023. The reversal of 1840363980 is 893630481.

It is a happy number.

1840363980 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14048515 + ... + 14048645.

It is an arithmetic number, because the mean of its divisors is an integer number (17385984).

Almost surely, 21840363980 is an apocalyptic number.

1840363980 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 1840363980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338108928).

1840363980 is an abundant number, since it is smaller than the sum of its proper divisors (4835853876).

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

1840363980 is a wasteful number, since it uses less digits than its factorization.

1840363980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 1840363980 is about 42899.4636330106. The cubic root of 1840363980 is about 1225.4659296607.

The spelling of 1840363980 in words is "one billion, eight hundred forty million, three hundred sixty-three thousand, nine hundred eighty".