Search a number
-
+
531140040 = 233255772557
BaseRepresentation
bin11111101010001…
…000110111001000
31101000102201011100
4133222020313020
52041432440130
6124412101400
716106421144
oct3752106710
91330381140
10531140040
112528a6412
12129a64860
1386068c62
1450780224
1531969c60
hex1fa88dc8

531140040 has 96 divisors (see below), whose sum is σ = 1729873080. Its totient is φ = 141336576.

The previous prime is 531140033. The next prime is 531140059. The reversal of 531140040 is 40041135.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 519566436 + 11573604 = 22794^2 + 3402^2 .

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 = 531139995 and 531140022.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206442 + ... + 208998.

Almost surely, 2531140040 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 531140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864936540).

531140040 is an abundant number, since it is smaller than the sum of its proper divisors (1198733040).

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

531140040 is a wasteful number, since it uses less digits than its factorization.

531140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 531140040 is about 23046.4756524723. The cubic root of 531140040 is about 809.8470676065.

Adding to 531140040 its reverse (40041135), we get a palindrome (571181175).

The spelling of 531140040 in words is "five hundred thirty-one million, one hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 577 1154 1731 2308 2557 2885 3462 4616 5114 5193 5770 6924 7671 8655 10228 10386 11540 12785 13848 15342 17310 20456 20772 23013 23080 25570 25965 30684 34620 38355 41544 46026 51140 51930 61368 69240 76710 92052 102280 103860 115065 153420 184104 207720 230130 306840 460260 920520 1475389 2950778 4426167 5901556 7376945 8852334 11803112 13278501 14753890 17704668 22130835 26557002 29507780 35409336 44261670 53114004 59015560 66392505 88523340 106228008 132785010 177046680 265570020 531140040