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1130304320 = 2653599839
BaseRepresentation
bin100001101011111…
…0001001101000000
32220202212102000222
41003113301031000
54303324214240
6304054202212
740003266605
oct10327611500
92822772028
101130304320
11530033402
12276653368
13150231332
14aa18a6ac
156936eeb5
hex435f1340

1130304320 has 56 divisors (see below), whose sum is σ = 2699308800. Its totient is φ = 450816512.

The previous prime is 1130304283. The next prime is 1130304337. The reversal of 1130304320 is 234030311.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 109961 + ... + 119799.

Almost surely, 21130304320 is an apocalyptic number.

1130304320 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 1130304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349654400).

1130304320 is an abundant number, since it is smaller than the sum of its proper divisors (1569004480).

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

1130304320 is an equidigital number, since it uses as much as digits as its factorization.

1130304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10215 (or 10205 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1130304320 is about 33619.9988102320. The cubic root of 1130304320 is about 1041.6739314978.

Adding to 1130304320 its reverse (234030311), we get a palindrome (1364334631).

The spelling of 1130304320 in words is "one billion, one hundred thirty million, three hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 359 718 1436 1795 2872 3590 5744 7180 9839 11488 14360 19678 22976 28720 39356 49195 57440 78712 98390 114880 157424 196780 314848 393560 629696 787120 1574240 3148480 3532201 7064402 14128804 17661005 28257608 35322010 56515216 70644020 113030432 141288040 226060864 282576080 565152160 1130304320