Search a number
-
+
1166430 = 23559659
BaseRepresentation
bin100011100110001011110
32012021001010
410130301132
5244311210
641000050
712625446
oct4346136
92167033
101166430
117273a1
12483026
1331abc5
14225126
15180920
hex11cc5e

1166430 has 32 divisors (see below), whose sum is σ = 2851200. Its totient is φ = 305312.

The previous prime is 1166413. The next prime is 1166441. The reversal of 1166430 is 346611.

It is a junction number, because it is equal to n+sod(n) for n = 1166397 and 1166406.

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 15 ways as a sum of consecutive naturals, for example, 1441 + ... + 2099.

It is an arithmetic number, because the mean of its divisors is an integer number (89100).

21166430 is an apocalyptic number.

1166430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425600).

1166430 is an abundant number, since it is smaller than the sum of its proper divisors (1684770).

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

1166430 is a wasteful number, since it uses less digits than its factorization.

1166430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1166430 is about 1080.0138887996. The cubic root of 1166430 is about 105.2655410425.

It can be divided in two parts, 1166 and 430, that added together give a triangular number (1596 = T56).

The spelling of 1166430 in words is "one million, one hundred sixty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 590 659 885 1318 1770 1977 3295 3954 6590 9885 19770 38881 77762 116643 194405 233286 388810 583215 1166430