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1324030120 = 235727117449
BaseRepresentation
bin100111011101011…
…0001100010101000
310102021101200212121
41032322301202220
510202422430440
6335214321024
744545033060
oct11672614250
93367350777
101324030120
1161a420476
1230b4b9174
131813cc89a
14c7bb83a0
157b38a34a
hex4eeb18a8

1324030120 has 64 divisors (see below), whose sum is σ = 3417408000. Its totient is φ = 452252160.

The previous prime is 1324030117. The next prime is 1324030129. The reversal of 1324030120 is 210304231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1324030094 and 1324030103.

It is not an unprimeable number, because it can be changed into a prime (1324030129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67156 + ... + 84604.

It is an arithmetic number, because the mean of its divisors is an integer number (53397000).

Almost surely, 21324030120 is an apocalyptic number.

1324030120 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 1324030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708704000).

1324030120 is an abundant number, since it is smaller than the sum of its proper divisors (2093377880).

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

1324030120 is a wasteful number, since it uses less digits than its factorization.

1324030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17738 (or 17734 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1324030120 is about 36387.2246811982. The cubic root of 1324030120 is about 1098.0765615385.

Adding to 1324030120 its reverse (210304231), we get a palindrome (1534334351).

The spelling of 1324030120 in words is "one billion, three hundred twenty-four million, thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 271 280 542 1084 1355 1897 2168 2710 3794 5420 7588 9485 10840 15176 17449 18970 34898 37940 69796 75880 87245 122143 139592 174490 244286 348980 488572 610715 697960 977144 1221430 2442860 4728679 4885720 9457358 18914716 23643395 33100753 37829432 47286790 66201506 94573580 132403012 165503765 189147160 264806024 331007530 662015060 1324030120