Search a number
-
+
576023040 = 29325231087
BaseRepresentation
bin100010010101010…
…110101000000000
31111010220000001200
4202111112220000
52134430214130
6133054101200
720163054315
oct4225265000
91433800050
10576023040
112761716aa
12140aaa800
1392452248
1456704d0c
1535883760
hex22556a00

576023040 has 240 divisors, whose sum is σ = 2083580928. Its totient is φ = 146792448.

The previous prime is 576023029. The next prime is 576023047. The reversal of 576023040 is 40320675.

It is a happy number.

576023040 is a `hidden beast` number, since 57 + 602 + 3 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×5760230402 = 663605085221683200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 576022995 and 576023013.

It is not an unprimeable number, because it can be changed into a prime (576023047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529377 + ... + 530463.

Almost surely, 2576023040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 576023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041790464).

576023040 is an abundant number, since it is smaller than the sum of its proper divisors (1507557888).

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

576023040 is a wasteful number, since it uses less digits than its factorization.

576023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 576023040 is about 24000.4799952001. The cubic root of 576023040 is about 832.0446228532.

It can be divided in two parts, 5760 and 23040, that multiplied together give a square (132710400 = 115202).

The spelling of 576023040 in words is "five hundred seventy-six million, twenty-three thousand, forty".