Search a number
-
+
1081120 = 25529233
BaseRepresentation
bin100000111111100100000
32000221000111
410013330200
5234043440
635101104
712121645
oct4077440
92027014
101081120
11679297
12441794
132bb121
14201dcc
151654ea
hex107f20

1081120 has 48 divisors (see below), whose sum is σ = 2653560. Its totient is φ = 415744.

The previous prime is 1081099. The next prime is 1081121. The reversal of 1081120 is 211801.

It can be written as a sum of positive squares in 4 ways, for example, as 725904 + 355216 = 852^2 + 596^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1081120.

It is not an unprimeable number, because it can be changed into a prime (1081121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4524 + ... + 4756.

21081120 is an apocalyptic number.

1081120 is a gapful number since it is divisible by the number (10) 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 1081120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326780).

1081120 is an abundant number, since it is smaller than the sum of its proper divisors (1572440).

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

1081120 is a wasteful number, since it uses less digits than its factorization.

1081120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 1081120 is about 1039.7692051605. The cubic root of 1081120 is about 102.6340107155.

Adding to 1081120 its reverse (211801), we get a palindrome (1292921).

The spelling of 1081120 in words is "one million, eighty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 233 290 464 466 580 928 932 1160 1165 1864 2320 2330 3728 4640 4660 6757 7456 9320 13514 18640 27028 33785 37280 54056 67570 108112 135140 216224 270280 540560 1081120