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1016943840 = 25325111931109
BaseRepresentation
bin111100100111010…
…101010011100000
32121212120002200200
4330213111103200
54040314200330
6244524345200
734125610563
oct7447252340
92555502620
101016943840
11482046a60
122446a5200
131328c0523
14990bc4da
155e42ba60
hex3c9d54e0

1016943840 has 576 divisors, whose sum is σ = 4151347200. Its totient is φ = 223948800.

The previous prime is 1016943833. The next prime is 1016943881. The reversal of 1016943840 is 483496101.

1016943840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 1016943795 and 1016943804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9329706 + ... + 9329814.

It is an arithmetic number, because the mean of its divisors is an integer number (7207200).

Almost surely, 21016943840 is an apocalyptic number.

1016943840 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 1016943840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075673600).

1016943840 is an abundant number, since it is smaller than the sum of its proper divisors (3134403360).

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

1016943840 is a wasteful number, since it uses less digits than its factorization.

1016943840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1016943840 is about 31889.5569113150. The cubic root of 1016943840 is about 1005.6163442908.

The spelling of 1016943840 in words is "one billion, sixteen million, nine hundred forty-three thousand, eight hundred forty".