Search a number
-
+
1024523412 = 2231137920479
BaseRepresentation
bin111101000100001…
…111110010010100
32122101211011220120
4331010033302110
54044234222122
6245355031540
734250206503
oct7504176224
92571734816
101024523412
11486353670
1224713b5b0
13134345493
149a0d283a
155ee2775c
hex3d10fc94

1024523412 has 48 divisors (see below), whose sum is σ = 2614886400. Its totient is φ = 309627360.

The previous prime is 1024523363. The next prime is 1024523419. The reversal of 1024523412 is 2143254201.

1024523412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10245234122 = 2099296443472243488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024523419) 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, 39789 + ... + 60267.

It is an arithmetic number, because the mean of its divisors is an integer number (54476800).

Almost surely, 21024523412 is an apocalyptic number.

1024523412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1024523412 is an abundant number, since it is smaller than the sum of its proper divisors (1590362988).

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

1024523412 is a wasteful number, since it uses less digits than its factorization.

1024523412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20876 (or 20874 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1024523412 is about 32008.1772676921. The cubic root of 1024523412 is about 1008.1085444651.

Adding to 1024523412 its reverse (2143254201), we get a palindrome (3167777613).

The spelling of 1024523412 in words is "one billion, twenty-four million, five hundred twenty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 379 758 1137 1516 2274 4169 4548 8338 12507 16676 20479 25014 40958 50028 61437 81916 122874 225269 245748 450538 675807 901076 1351614 2703228 7761541 15523082 23284623 31046164 46569246 85376951 93138492 170753902 256130853 341507804 512261706 1024523412