Search a number
-
+
3024251120 = 245113436649
BaseRepresentation
bin1011010001000010…
…0110100011110000
321210202122212121202
42310100212203300
522143202013440
61220032110332
7134641465442
oct26420464360
97722585552
103024251120
1113121246a0
127049953a8
13392725907
1420991a492
1512a784615
hexb44268f0

3024251120 has 40 divisors (see below), whose sum is σ = 7670602800. Its totient is φ = 1099727360.

The previous prime is 3024251119. The next prime is 3024251123. The reversal of 3024251120 is 211524203.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3024251092 and 3024251101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3024251123) by changing a digit.

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, 1717445 + ... + 1719204.

It is an arithmetic number, because the mean of its divisors is an integer number (191765070).

Almost surely, 23024251120 is an apocalyptic number.

It is an amenable number.

3024251120 is an abundant number, since it is smaller than the sum of its proper divisors (4646351680).

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

3024251120 is a wasteful number, since it uses less digits than its factorization.

3024251120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436673 (or 3436667 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 3024251120 is about 54993.1915785945. The cubic root of 3024251120 is about 1446.1253861621.

Adding to 3024251120 its reverse (211524203), we get a palindrome (3235775323).

The spelling of 3024251120 in words is "three billion, twenty-four million, two hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 3436649 6873298 13746596 17183245 27493192 34366490 37803139 54986384 68732980 75606278 137465960 151212556 189015695 274931920 302425112 378031390 604850224 756062780 1512125560 3024251120