Search a number
-
+
1104124032 = 2732112892
BaseRepresentation
bin100000111001111…
…1001100010000000
32211221121022102200
41001303321202000
54230123432112
6301321113200
736234620334
oct10163714200
92757538380
101104124032
11517281800
12269928800
13147995b3b
14a68d37c4
1566deccdc
hex41cf9880

1104124032 has 216 divisors, whose sum is σ = 3532009845. Its totient is φ = 330823680.

The previous prime is 1104124019. The next prime is 1104124057. The reversal of 1104124032 is 2304214011.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 986965056 + 117158976 = 31416^2 + 10824^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=23496.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1104123996 and 1104124014.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12405844 + ... + 12405932.

Almost surely, 21104124032 is an apocalyptic number.

1104124032 is a gapful number since it is divisible by the number (12) 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 1104124032

1104124032 is an abundant number, since it is smaller than the sum of its proper divisors (2427885813).

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

1104124032 is an equidigital number, since it uses as much as digits as its factorization.

1104124032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1104124032 is about 33228.3618615182. The cubic root of 1104124032 is about 1033.5685539673.

Multiplying 1104124032 by its sum of digits (18), we get a square (19874232576 = 1409762).

1104124032 divided by its sum of digits (18) gives a square (61340224 = 78322).

Adding to 1104124032 its reverse (2304214011), we get a palindrome (3408338043).

The spelling of 1104124032 in words is "one billion, one hundred four million, one hundred twenty-four thousand, thirty-two".