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1816035840 = 29325232149
BaseRepresentation
bin110110000111110…
…1000001000000000
311200120012011211200
41230033220020000
512204401121330
6500111541200
763001023063
oct15417501000
94616164750
101816035840
11852117673
1242822a800
1322c316028
1413328c8da
15a9674a60
hex6c3e8200

1816035840 has 360 divisors, whose sum is σ = 6618912300. Its totient is φ = 460111872.

The previous prime is 1816035791. The next prime is 1816035857. The reversal of 1816035840 is 485306181.

1816035840 is a `hidden beast` number, since 1 + 8 + 1 + 603 + 5 + 8 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1668559104 + 147476736 = 40848^2 + 12144^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1816035795 and 1816035804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12188086 + ... + 12188234.

Almost surely, 21816035840 is an apocalyptic number.

1816035840 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 1816035840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309456150).

1816035840 is an abundant number, since it is smaller than the sum of its proper divisors (4802876460).

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

1816035840 is a wasteful number, since it uses less digits than its factorization.

1816035840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1816035840 is about 42614.9720168863. The cubic root of 1816035840 is about 1220.0420660941.

The spelling of 1816035840 in words is "one billion, eight hundred sixteen million, thirty-five thousand, eight hundred forty".