Search a number
-
+
1131024384 = 212347487
BaseRepresentation
bin100001101101010…
…0001000000000000
32220211012222210000
41003122201000000
54304020240014
6304121440000
740012356120
oct10332410000
92824188700
101131024384
115304853a6
12276940000
13150423cc9
14aa2d6c80
1569463509
hex436a1000

1131024384 has 260 divisors, whose sum is σ = 3869297344. Its totient is φ = 322486272.

The previous prime is 1131024383. The next prime is 1131024407. The reversal of 1131024384 is 4834201311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131024383) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2322189 + ... + 2322675.

Almost surely, 21131024384 is an apocalyptic number.

1131024384 is a gapful number since it is divisible by the number (14) 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 1131024384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934648672).

1131024384 is an abundant number, since it is smaller than the sum of its proper divisors (2738272960).

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

1131024384 is an frugal number, since it uses more digits than its factorization.

1131024384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1131024384 is about 33630.7059693965. The cubic root of 1131024384 is about 1041.8950851176.

Adding to 1131024384 its reverse (4834201311), we get a palindrome (5965225695).

The spelling of 1131024384 in words is "one billion, one hundred thirty-one million, twenty-four thousand, three hundred eighty-four".