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1820797056 = 2736131979
BaseRepresentation
bin110110010000111…
…0010100010000000
311200220011002000000
41230201302202000
512212111001211
6500402000000
763056343141
oct15441624200
94626132000
101820797056
11854879861
12429946000
132302c2210
14133b6bac8
15a9cb5656
hex6c872880

1820797056 has 448 divisors, whose sum is σ = 6243216000. Its totient is φ = 524040192.

The previous prime is 1820797051. The next prime is 1820797057. The reversal of 1820797056 is 6507970281.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1820797051) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 23048025 + ... + 23048103.

It is an arithmetic number, because the mean of its divisors is an integer number (13935750).

Almost surely, 21820797056 is an apocalyptic number.

1820797056 is a gapful number since it is divisible by the number (16) 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 1820797056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121608000).

1820797056 is an abundant number, since it is smaller than the sum of its proper divisors (4422418944).

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

1820797056 is an equidigital number, since it uses as much as digits as its factorization.

1820797056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 1820797056 is about 42670.7986332574. The cubic root of 1820797056 is about 1221.1073561347.

The spelling of 1820797056 in words is "one billion, eight hundred twenty million, seven hundred ninety-seven thousand, fifty-six".