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531532040 = 235132611289
BaseRepresentation
bin11111101011101…
…000100100001000
31101001011121212212
4133223220210020
52042033011130
6124424324252
716112643044
oct3753504410
91331147785
10531532040
11253043986
1212a013688
1386175500
1450843024
15319e5e95
hex1fae8908

531532040 has 96 divisors (see below), whose sum is σ = 1317270600. Its totient is φ = 192890880.

The previous prime is 531532019. The next prime is 531532051. The reversal of 531532040 is 40235135.

It can be written as a sum of positive squares in 12 ways, for example, as 21585316 + 509946724 = 4646^2 + 22582^2 .

It is a junction number, because it is equal to n+sod(n) for n = 531531997 and 531532015.

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, 411716 + ... + 413004.

Almost surely, 2531532040 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 531532040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658635300).

531532040 is an abundant number, since it is smaller than the sum of its proper divisors (785738560).

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

531532040 is a wasteful number, since it uses less digits than its factorization.

531532040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 531532040 is about 23054.9786380296. The cubic root of 531532040 is about 810.0462504709.

Adding to 531532040 its reverse (40235135), we get a palindrome (571767175).

The spelling of 531532040 in words is "five hundred thirty-one million, five hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 104 122 130 169 244 260 305 338 488 520 610 676 793 845 1220 1289 1352 1586 1690 2440 2578 3172 3380 3965 5156 6344 6445 6760 7930 10309 10312 12890 15860 16757 20618 25780 31720 33514 41236 51545 51560 67028 78629 82472 83785 103090 134056 157258 167570 206180 217841 314516 335140 393145 412360 435682 629032 670280 786290 871364 1022177 1089205 1572580 1742728 2044354 2178410 3145160 4088708 4356820 5110885 8177416 8713640 10221770 13288301 20443540 26576602 40887080 53153204 66441505 106306408 132883010 265766020 531532040