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1140332424 = 2337111947691
BaseRepresentation
bin100001111111000…
…0001011110001000
32221110201220000020
41003332001132020
54313411114144
6305053140440
740154444220
oct10376013610
92843656006
101140332424
115357626a0
12279a8a720
1315233291a
14ab63b080
156a1a1419
hex43f81788

1140332424 has 256 divisors, whose sum is σ = 3826483200. Its totient is φ = 274233600.

The previous prime is 1140332393. The next prime is 1140332447. The reversal of 1140332424 is 4242330411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1140332394 and 1140332403.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1649919 + ... + 1650609.

It is an arithmetic number, because the mean of its divisors is an integer number (14947200).

Almost surely, 21140332424 is an apocalyptic number.

1140332424 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 1140332424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913241600).

1140332424 is an abundant number, since it is smaller than the sum of its proper divisors (2686150776).

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

1140332424 is a wasteful number, since it uses less digits than its factorization.

1140332424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1140332424 is about 33768.8084480338. The cubic root of 1140332424 is about 1044.7454563440.

Adding to 1140332424 its reverse (4242330411), we get a palindrome (5382662835).

The spelling of 1140332424 in words is "one billion, one hundred forty million, three hundred thirty-two thousand, four hundred twenty-four".