Search a number
-
+
1131800040 = 23345727129
BaseRepresentation
bin100001101110101…
…1110010111101000
32220212200101210000
41003131132113220
54304220100130
6304150223000
740022066400
oct10335362750
92825611700
101131800040
11530965138
12277054a60
13150636087
14aa459800
1569568260
hex4375e5e8

1131800040 has 240 divisors, whose sum is σ = 4425804900. Its totient is φ = 258660864.

The previous prime is 1131800029. The next prime is 1131800051. The reversal of 1131800040 is 400081311.

It is an interprime number because it is at equal distance from previous prime (1131800029) and next prime (1131800051).

It can be written as a sum of positive squares in 2 ways, for example, as 1131784164 + 15876 = 33642^2 + 126^2 .

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 = 1131799986 and 1131800022.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 155196 + ... + 162324.

Almost surely, 21131800040 is an apocalyptic number.

1131800040 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 1131800040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212902450).

1131800040 is an abundant number, since it is smaller than the sum of its proper divisors (3294004860).

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

1131800040 is a wasteful number, since it uses less digits than its factorization.

1131800040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7166 (or 7146 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1131800040 is about 33642.2359542287. The cubic root of 1131800040 is about 1042.1332077471.

Adding to 1131800040 its reverse (400081311), we get a palindrome (1531881351).

The spelling of 1131800040 in words is "one billion, one hundred thirty-one million, eight hundred thousand, forty".