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1016490384 = 2435713317
BaseRepresentation
bin111100100101100…
…110100110010000
32121211201001200000
4330211212212100
54040210143014
6244510530000
734122011550
oct7445464620
92554631600
101016490384
114818672a8
12244506900
13132792000
1499001160
155e38c509
hex3c966990

1016490384 has 480 divisors, whose sum is σ = 3867252480. Its totient is φ = 252315648.

The previous prime is 1016490323. The next prime is 1016490407. The reversal of 1016490384 is 4830946101.

1016490384 is a `hidden beast` number, since 1 + 0 + 1 + 649 + 0 + 3 + 8 + 4 = 666.

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

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, 59793544 + ... + 59793560.

It is an arithmetic number, because the mean of its divisors is an integer number (8056776).

Almost surely, 21016490384 is an apocalyptic number.

1016490384 is a gapful number since it is divisible by the number (14) 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 1016490384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933626240).

1016490384 is an abundant number, since it is smaller than the sum of its proper divisors (2850762096).

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

1016490384 is an equidigital number, since it uses as much as digits as its factorization.

1016490384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 42 counting only the distinct ones).

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

The square root of 1016490384 is about 31882.4463302301. The cubic root of 1016490384 is about 1005.4668537154.

The spelling of 1016490384 in words is "one billion, sixteen million, four hundred ninety thousand, three hundred eighty-four".