Search a number
-
+
1081188 = 22344771
BaseRepresentation
bin100000111111101100100
32000221010000
410013331210
5234044223
635101300
712122103
oct4077544
92027100
101081188
11679349
12441830
132bb174
1420203a
15165543
hex107f64

1081188 has 60 divisors (see below), whose sum is σ = 2927232. Its totient is φ = 347760.

The previous prime is 1081163. The next prime is 1081219. The reversal of 1081188 is 8811801.

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

1081188 is a modest number, since divided by 1188 gives 108 as remainder.

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 19 ways as a sum of consecutive naturals, for example, 15193 + ... + 15263.

21081188 is an apocalyptic number.

1081188 is a gapful number since it is divisible by the number (18) 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 1081188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463616).

1081188 is an abundant number, since it is smaller than the sum of its proper divisors (1846044).

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

1081188 is a wasteful number, since it uses less digits than its factorization.

1081188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 27.

The square root of 1081188 is about 1039.8019042106. The cubic root of 1081188 is about 102.6361624860.

Adding to 1081188 its reverse (8811801), we get a palindrome (9892989).

It can be divided in two parts, 108 and 1188, that added together give a 4-th power (1296 = 64).

The spelling of 1081188 in words is "one million, eighty-one thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 71 81 94 108 141 142 162 188 213 282 284 324 423 426 564 639 846 852 1269 1278 1692 1917 2538 2556 3337 3807 3834 5076 5751 6674 7614 7668 10011 11502 13348 15228 20022 23004 30033 40044 60066 90099 120132 180198 270297 360396 540594 1081188