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1131132240 = 2432572971109
BaseRepresentation
bin100001101101011…
…1011010101010000
32220211102110201200
41003122323111100
54304032212430
6304124031200
740013315430
oct10332732520
92824373650
101131132240
11530549437
12276992500
13150461124
14aa3242c0
1569485460
hex436bb550

1131132240 has 480 divisors, whose sum is σ = 4596134400. Its totient is φ = 243855360.

The previous prime is 1131132199. The next prime is 1131132241. The reversal of 1131132240 is 422311311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131132241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10377306 + ... + 10377414.

It is an arithmetic number, because the mean of its divisors is an integer number (9575280).

Almost surely, 21131132240 is an apocalyptic number.

1131132240 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 1131132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298067200).

1131132240 is an abundant number, since it is smaller than the sum of its proper divisors (3465002160).

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

1131132240 is a wasteful number, since it uses less digits than its factorization.

1131132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1131132240 is about 33632.3094657503. The cubic root of 1131132240 is about 1041.9282029018.

Adding to 1131132240 its reverse (422311311), we get a palindrome (1553443551).

The spelling of 1131132240 in words is "one billion, one hundred thirty-one million, one hundred thirty-two thousand, two hundred forty".