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1130408608 = 257173771113
BaseRepresentation
bin100001101100000…
…1010101010100000
32220210001201002111
41003120022222200
54303341033413
6304100325104
740004212630
oct10330125240
92823051074
101130408608
115300a479a
122766a3794
13150269944
14aa1b66c0
1569390d3d
hex4360aaa0

1130408608 has 192 divisors, whose sum is σ = 2829593088. Its totient is φ = 433520640.

The previous prime is 1130408593. The next prime is 1130408611. The reversal of 1130408608 is 8068040311.

It is a super-3 number, since 3×11304086083 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1130408608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10003560 + ... + 10003672.

It is an arithmetic number, because the mean of its divisors is an integer number (14737464).

Almost surely, 21130408608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130408608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414796544).

1130408608 is an abundant number, since it is smaller than the sum of its proper divisors (1699184480).

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

1130408608 is a wasteful number, since it uses less digits than its factorization.

1130408608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 1130408608 is about 33621.5497560716. The cubic root of 1130408608 is about 1041.7059673393.

Adding to 1130408608 its reverse (8068040311), we get a palindrome (9198448919).

The spelling of 1130408608 in words is "one billion, one hundred thirty million, four hundred eight thousand, six hundred eight".