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1130455264 = 25291577759
BaseRepresentation
bin100001101100001…
…0110000011100000
32220210011002002111
41003120112003200
54303344032024
6304101325104
740004465641
oct10330260340
92823132074
101130455264
11530126854
12276706794
13150284c53
14aa1c96c8
156939ea94
hex436160e0

1130455264 has 48 divisors (see below), whose sum is σ = 2317291200. Its totient is φ = 542191104.

The previous prime is 1130455259. The next prime is 1130455301. The reversal of 1130455264 is 4625540311.

It is a happy number.

It is a super-3 number, since 3×11304552643 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 141817 + ... + 149575.

It is an arithmetic number, because the mean of its divisors is an integer number (48276900).

Almost surely, 21130455264 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 1130455264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158645600).

1130455264 is an abundant number, since it is smaller than the sum of its proper divisors (1186835936).

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

1130455264 is a wasteful number, since it uses less digits than its factorization.

1130455264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7955 (or 7947 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 1130455264 is about 33622.2435896238. The cubic root of 1130455264 is about 1041.7202987838.

Adding to 1130455264 its reverse (4625540311), we get a palindrome (5755995575).

The spelling of 1130455264 in words is "one billion, one hundred thirty million, four hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 58 116 157 232 314 464 628 928 1256 2512 4553 5024 7759 9106 15518 18212 31036 36424 62072 72848 124144 145696 225011 248288 450022 900044 1218163 1800088 2436326 3600176 4872652 7200352 9745304 19490608 35326727 38981216 70653454 141306908 282613816 565227632 1130455264