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1131810240 = 263511195641
BaseRepresentation
bin100001101110110…
…0000110111000000
32220212200220202210
41003131200313000
54304220411430
6304150342120
740022141211
oct10335406700
92825626683
101131810240
11530971870
1227705a940
1315063a902
14aa45d408
156956b2b0
hex43760dc0

1131810240 has 224 divisors, whose sum is σ = 4127235840. Its totient is φ = 259891200.

The previous prime is 1131810233. The next prime is 1131810257. The reversal of 1131810240 is 420181311.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197820 + ... + 203460.

It is an arithmetic number, because the mean of its divisors is an integer number (18425160).

Almost surely, 21131810240 is an apocalyptic number.

1131810240 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 1131810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063617920).

1131810240 is an abundant number, since it is smaller than the sum of its proper divisors (2995425600).

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

1131810240 is a wasteful number, since it uses less digits than its factorization.

1131810240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5691 (or 5681 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1131810240 is about 33642.3875490429. The cubic root of 1131810240 is about 1042.1363383728.

Adding to 1131810240 its reverse (420181311), we get a palindrome (1551991551).

The spelling of 1131810240 in words is "one billion, one hundred thirty-one million, eight hundred ten thousand, two hundred forty".