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1130385240 = 2333519311777
BaseRepresentation
bin100001101100000…
…0100111101011000
32220210000112001000
41003120010331120
54303334311430
6304100025000
740004054535
oct10330047530
92823015030
101130385240
11530089186
12276692160
1315025c10a
14aa1abd8c
1569388e60
hex43604f58

1130385240 has 256 divisors, whose sum is σ = 4096512000. Its totient is φ = 276203520.

The previous prime is 1130385149. The next prime is 1130385241. The reversal of 1130385240 is 425830311.

It is a happy number.

1130385240 is a `hidden beast` number, since 1 + 130 + 3 + 8 + 524 + 0 = 666.

It is a super-3 number, since 3×11303852403 (a number of 28 digits) contains 333 as substring.

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 (1130385241) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 635232 + ... + 637008.

It is an arithmetic number, because the mean of its divisors is an integer number (16002000).

Almost surely, 21130385240 is an apocalyptic number.

1130385240 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 1130385240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048256000).

1130385240 is an abundant number, since it is smaller than the sum of its proper divisors (2966126760).

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

1130385240 is a wasteful number, since it uses less digits than its factorization.

1130385240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1130385240 is about 33621.2022390634. The cubic root of 1130385240 is about 1041.6987891819.

The spelling of 1130385240 in words is "one billion, one hundred thirty million, three hundred eighty-five thousand, two hundred forty".