Search a number
-
+
1024031124 = 223228445309
BaseRepresentation
bin111101000010010…
…111100110010100
32122100220011121200
4331002113212110
54044122443444
6245340312500
734243056324
oct7502274624
92570804550
101024031124
11486047816
12246b42730
1313420239c
149a005284
155ed7b969
hex3d097994

1024031124 has 18 divisors (see below), whose sum is σ = 2588523210. Its totient is φ = 341343696.

The previous prime is 1024031123. The next prime is 1024031137. The reversal of 1024031124 is 4211304201.

1024031124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 672468624 + 351562500 = 25932^2 + 18750^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1024031097 and 1024031106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024031123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14222619 + ... + 14222690.

It is an arithmetic number, because the mean of its divisors is an integer number (143806845).

Almost surely, 21024031124 is an apocalyptic number.

It is an amenable number.

1024031124 is an abundant number, since it is smaller than the sum of its proper divisors (1564492086).

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

1024031124 is a wasteful number, since it uses less digits than its factorization.

1024031124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28445319 (or 28445314 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1024031124 is about 32000.4863088047. The cubic root of 1024031124 is about 1007.9470517350.

Adding to 1024031124 its reverse (4211304201), we get a palindrome (5235335325).

The spelling of 1024031124 in words is "one billion, twenty-four million, thirty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 28445309 56890618 85335927 113781236 170671854 256007781 341343708 512015562 1024031124