Search a number
-
+
531431140 = 2251931197229
BaseRepresentation
bin11111101011001…
…111111011100100
31101000222111110211
4133223033323210
52042021244030
6124422225204
716112042632
oct3753177344
91330874424
10531431140
11252a85099
12129b85204
138613b5c6
1450818352
15319c612a
hex1facfee4

531431140 has 96 divisors (see below), whose sum is σ = 1224115200. Its totient is φ = 193052160.

The previous prime is 531431107. The next prime is 531431149. The reversal of 531431140 is 41134135.

It is not an unprimeable number, because it can be changed into a prime (531431149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2320546 + ... + 2320774.

It is an arithmetic number, because the mean of its divisors is an integer number (12751200).

Almost surely, 2531431140 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 531431140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612057600).

531431140 is an abundant number, since it is smaller than the sum of its proper divisors (692684060).

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

531431140 is a wasteful number, since it uses less digits than its factorization.

531431140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 531431140 is about 23052.7902866443. The cubic root of 531431140 is about 809.9949905700.

Adding to 531431140 its reverse (41134135), we get a palindrome (572565275).

The spelling of 531431140 in words is "five hundred thirty-one million, four hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 197 229 310 380 394 458 589 620 788 916 985 1145 1178 1970 2290 2356 2945 3743 3940 4351 4580 5890 6107 7099 7486 8702 11780 12214 14198 14972 17404 18715 21755 24428 28396 30535 35495 37430 43510 45113 61070 70990 74860 87020 90226 116033 122140 134881 141980 180452 225565 232066 269762 451130 464132 539524 580165 674405 857147 902260 1160330 1348810 1398503 1714294 2320660 2697620 2797006 3428588 4285735 5594012 6992515 8571470 13985030 17142940 26571557 27970060 53143114 106286228 132857785 265715570 531431140