Search a number
-
+
1123245420 = 22351121719479
BaseRepresentation
bin100001011110011…
…0101110101101100
32220021120210001020
41002330311311230
54300022323140
6303243014140
736556266663
oct10274656554
92807523036
101123245420
11527051a00
1227420a350
1314b92c37b
14a926ddda
15689286d0
hex42f35d6c

1123245420 has 288 divisors, whose sum is σ = 3861043200. Its totient is φ = 242288640.

The previous prime is 1123245397. The next prime is 1123245427. The reversal of 1123245420 is 245423211.

It is not an unprimeable number, because it can be changed into a prime (1123245427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2344741 + ... + 2345219.

It is an arithmetic number, because the mean of its divisors is an integer number (13406400).

Almost surely, 21123245420 is an apocalyptic number.

1123245420 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 1123245420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930521600).

1123245420 is an abundant number, since it is smaller than the sum of its proper divisors (2737797780).

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

1123245420 is a wasteful number, since it uses less digits than its factorization.

1123245420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1123245420 is about 33514.8537218947. The cubic root of 1123245420 is about 1039.5009378228.

Adding to 1123245420 its reverse (245423211), we get a palindrome (1368668631).

The spelling of 1123245420 in words is "one billion, one hundred twenty-three million, two hundred forty-five thousand, four hundred twenty".