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531140240 = 24541831951
BaseRepresentation
bin11111101010001…
…000111010010000
31101000102201102202
4133222020322100
52041432441430
6124412102332
716106421551
oct3752107220
91330381382
10531140240
112528a6584
12129a649a8
1386069087
1450780328
1531969d45
hex1fa88e90

531140240 has 80 divisors (see below), whose sum is σ = 1280918016. Its totient is φ = 204672000.

The previous prime is 531140221. The next prime is 531140251. The reversal of 531140240 is 42041135.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271265 + ... + 273215.

Almost surely, 2531140240 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 531140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640459008).

531140240 is an abundant number, since it is smaller than the sum of its proper divisors (749777776).

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

531140240 is a wasteful number, since it uses less digits than its factorization.

531140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2082 counting only the distinct ones).

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

The square root of 531140240 is about 23046.4799915302. The cubic root of 531140240 is about 809.8471692554.

Adding to 531140240 its reverse (42041135), we get a palindrome (573181375).

The spelling of 531140240 in words is "five hundred thirty-one million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 83 164 166 205 328 332 410 415 656 664 820 830 1328 1640 1660 1951 3280 3320 3403 3902 6640 6806 7804 9755 13612 15608 17015 19510 27224 31216 34030 39020 54448 68060 78040 79991 136120 156080 159982 161933 272240 319964 323866 399955 639928 647732 799910 809665 1279856 1295464 1599820 1619330 2590928 3199640 3238660 6399280 6477320 6639253 12954640 13278506 26557012 33196265 53114024 66392530 106228048 132785060 265570120 531140240