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1130065440 = 253572232089
BaseRepresentation
bin100001101011011…
…0110111000100000
32220202102021100120
41003112312320200
54303244043230
6304045120240
740001253300
oct10326667040
92822367316
101130065440
1152a98a989
12276559080
1315017969a
14aa127600
1569324310
hex435b6e20

1130065440 has 288 divisors, whose sum is σ = 4322989440. Its totient is φ = 246951936.

The previous prime is 1130065381. The next prime is 1130065441. The reversal of 1130065440 is 445600311.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1130065440.

It is not an unprimeable number, because it can be changed into a prime (1130065441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539916 + ... + 542004.

It is an arithmetic number, because the mean of its divisors is an integer number (15010380).

Almost surely, 21130065440 is an apocalyptic number.

1130065440 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 1130065440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161494720).

1130065440 is an abundant number, since it is smaller than the sum of its proper divisors (3192924000).

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

1130065440 is a wasteful number, since it uses less digits than its factorization.

1130065440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1130065440 is about 33616.4459751473. The cubic root of 1130065440 is about 1041.6005434151.

Adding to 1130065440 its reverse (445600311), we get a palindrome (1575665751).

The spelling of 1130065440 in words is "one billion, one hundred thirty million, sixty-five thousand, four hundred forty".