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1087720816 = 2472131941137
BaseRepresentation
bin100000011010101…
…0100110101110000
32210210201221110011
41000311110311300
54211424031231
6255533344304
735645321500
oct10065246560
92723657404
101087720816
11508a98826
12264338094
131444718b0
14a4663a00
156575c9b1
hex40d54d70

1087720816 has 240 divisors, whose sum is σ = 2867628960. Its totient is φ = 394813440.

The previous prime is 1087720811. The next prime is 1087720871. The reversal of 1087720816 is 6180277801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087720811) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7939500 + ... + 7939636.

It is an arithmetic number, because the mean of its divisors is an integer number (11948454).

Almost surely, 21087720816 is an apocalyptic number.

1087720816 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 1087720816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433814480).

1087720816 is an abundant number, since it is smaller than the sum of its proper divisors (1779908144).

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

1087720816 is a wasteful number, since it uses less digits than its factorization.

1087720816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 40.

The square root of 1087720816 is about 32980.6127292990. The cubic root of 1087720816 is about 1028.4246556150.

The spelling of 1087720816 in words is "one billion, eighty-seven million, seven hundred twenty thousand, eight hundred sixteen".