Search a number
-
+
1801802016 = 253372910273
BaseRepresentation
bin110101101100101…
…0101000100100000
311122120102000201000
41223121111010200
512142230131031
6454442512000
762436031050
oct15331250440
94576360630
101801802016
11845085583
12423505600
132293a1351
14131425560
15a82b23e6
hex6b655120

1801802016 has 192 divisors, whose sum is σ = 6213715200. Its totient is φ = 497000448.

The previous prime is 1801801979. The next prime is 1801802021. The reversal of 1801802016 is 6102081081.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 170256 + ... + 180528.

It is an arithmetic number, because the mean of its divisors is an integer number (32363100).

Almost surely, 21801802016 is an apocalyptic number.

1801802016 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 1801802016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106857600).

1801802016 is an abundant number, since it is smaller than the sum of its proper divisors (4411913184).

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

1801802016 is a wasteful number, since it uses less digits than its factorization.

1801802016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10328 (or 10314 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1801802016 is about 42447.6385208883. The cubic root of 1801802016 is about 1216.8461979978.

Adding to 1801802016 its reverse (6102081081), we get a palindrome (7903883097).

The spelling of 1801802016 in words is "one billion, eight hundred one million, eight hundred two thousand, sixteen".