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2031027840 = 27325536653
BaseRepresentation
bin111100100001111…
…0000011010000000
312020112201220102100
41321003300122000
513124420342330
6533311550400
7101221310652
oct17103603200
95215656370
102031027840
1195250a306
1248822b400
13264a1c12a
14153a546d2
15bd491060
hex790f0680

2031027840 has 192 divisors, whose sum is σ = 7146795240. Its totient is φ = 531308544.

The previous prime is 2031027839. The next prime is 2031027853. The reversal of 2031027840 is 487201302.

It can be written as a sum of positive squares in 4 ways, for example, as 1259966016 + 771061824 = 35496^2 + 27768^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301954 + ... + 308606.

Almost surely, 22031027840 is an apocalyptic number.

2031027840 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 2031027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3573397620).

2031027840 is an abundant number, since it is smaller than the sum of its proper divisors (5115767400).

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

2031027840 is a wasteful number, since it uses less digits than its factorization.

2031027840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6731 (or 6716 counting only the distinct ones).

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

The square root of 2031027840 is about 45066.9262319941. The cubic root of 2031027840 is about 1266.4030821189.

The spelling of 2031027840 in words is "two billion, thirty-one million, twenty-seven thousand, eight hundred forty".