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1801331840 = 27571123323
BaseRepresentation
bin110101101011110…
…0010010010000000
311122112112010202002
41223113202102000
512142120104330
6454424443132
762432032220
oct15327422200
94575463662
101801331840
11844894300
124233194a8
13229268339
14131342080
15a821ce45
hex6b5e2480

1801331840 has 192 divisors, whose sum is σ = 5411206080. Its totient is φ = 561285120.

The previous prime is 1801331837. The next prime is 1801331893. The reversal of 1801331840 is 481331081.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 540419 + ... + 543741.

It is an arithmetic number, because the mean of its divisors is an integer number (28183365).

Almost surely, 21801331840 is an apocalyptic number.

1801331840 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 1801331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705603040).

1801331840 is an abundant number, since it is smaller than the sum of its proper divisors (3609874240).

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

1801331840 is a wasteful number, since it uses less digits than its factorization.

1801331840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 1801331840 is about 42442.0998538008. The cubic root of 1801331840 is about 1216.7403444050.

The spelling of 1801331840 in words is "one billion, eight hundred one million, three hundred thirty-one thousand, eight hundred forty".