Search a number
-
+
1791216 = 243271777
BaseRepresentation
bin110110101010011110000
310101000002100
412311103300
5424304331
6102220400
721140130
oct6652360
93330070
101791216
111013849
12724700
134a93bb
14348ac0
15255ae6
hex1b54f0

1791216 has 60 divisors (see below), whose sum is σ = 5732272. Its totient is φ = 511488.

The previous prime is 1791203. The next prime is 1791221. The reversal of 1791216 is 6121971.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1791216.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 120 + ... + 1896.

21791216 is an apocalyptic number.

1791216 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 1791216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866136).

1791216 is an abundant number, since it is smaller than the sum of its proper divisors (3941056).

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

1791216 is a wasteful number, since it uses less digits than its factorization.

1791216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1789 counting only the distinct ones).

The product of its digits is 756, while the sum is 27.

The square root of 1791216 is about 1338.3631794098. The cubic root of 1791216 is about 121.4458428555.

The spelling of 1791216 in words is "one million, seven hundred ninety-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1777 3554 5331 7108 10662 12439 14216 15993 21324 24878 28432 31986 37317 42648 49756 63972 74634 85296 99512 111951 127944 149268 199024 223902 255888 298536 447804 597072 895608 1791216