Search a number
-
+
540514140 = 223531535483
BaseRepresentation
bin100000001101111…
…001011101011100
31101200001222000020
4200031321131130
52101332423030
6125345032140
716252202655
oct4015713534
91350058006
10540514140
11258119301
12131025650
1387c9b96a
1451b0052c
15326bc510
hex2037975c

540514140 has 96 divisors (see below), whose sum is σ = 1592027136. Its totient is φ = 136830720.

The previous prime is 540514123. The next prime is 540514141. The reversal of 540514140 is 41415045.

It is a happy number.

540514140 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 540514140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540514141) 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, 95839 + ... + 101321.

It is an arithmetic number, because the mean of its divisors is an integer number (16583616).

Almost surely, 2540514140 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 540514140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796013568).

540514140 is an abundant number, since it is smaller than the sum of its proper divisors (1051512996).

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

540514140 is a wasteful number, since it uses less digits than its factorization.

540514140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5579 (or 5577 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 540514140 is about 23248.9599767387. The cubic root of 540514140 is about 814.5836457171.

Adding to 540514140 its reverse (41415045), we get a palindrome (581929185).

The spelling of 540514140 in words is "five hundred forty million, five hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 53 60 62 93 106 124 155 159 186 212 265 310 318 372 465 530 620 636 795 930 1060 1590 1643 1860 3180 3286 4929 5483 6572 8215 9858 10966 16430 16449 19716 21932 24645 27415 32860 32898 49290 54830 65796 82245 98580 109660 164490 169973 290599 328980 339946 509919 581198 679892 849865 871797 1019838 1162396 1452995 1699730 1743594 2039676 2549595 2905990 3399460 3487188 4358985 5099190 5811980 8717970 9008569 10198380 17435940 18017138 27025707 36034276 45042845 54051414 90085690 108102828 135128535 180171380 270257070 540514140