Search a number
-
+
1324413520 = 245372571741
BaseRepresentation
bin100111011110000…
…1111001001010000
310102022010011210121
41032330033021100
510203022213040
6335230440024
744551220623
oct11674171120
93368104717
101324413520
1161a662531
1230b663014
13181505251
14c7c77dba
157b413c4a
hex4ef0f250

1324413520 has 80 divisors (see below), whose sum is σ = 3176613648. Its totient is φ = 513146880.

The previous prime is 1324413479. The next prime is 1324413551. The reversal of 1324413520 is 253144231.

It can be written as a sum of positive squares in 8 ways, for example, as 16289296 + 1308124224 = 4036^2 + 36168^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 759850 + ... + 761590.

Almost surely, 21324413520 is an apocalyptic number.

1324413520 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 1324413520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588306824).

1324413520 is an abundant number, since it is smaller than the sum of its proper divisors (1852200128).

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

1324413520 is a wasteful number, since it uses less digits than its factorization.

1324413520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 1324413520 is about 36392.4926324098. The cubic root of 1324413520 is about 1098.1825414849.

Adding to 1324413520 its reverse (253144231), we get a palindrome (1577557751).

The spelling of 1324413520 in words is "one billion, three hundred twenty-four million, four hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 257 296 370 514 592 740 1028 1285 1480 1741 2056 2570 2960 3482 4112 5140 6964 8705 9509 10280 13928 17410 19018 20560 27856 34820 38036 47545 64417 69640 76072 95090 128834 139280 152144 190180 257668 322085 380360 447437 515336 644170 760720 894874 1030672 1288340 1789748 2237185 2576680 3579496 4474370 5153360 7158992 8948740 16555169 17897480 33110338 35794960 66220676 82775845 132441352 165551690 264882704 331103380 662206760 1324413520