Search a number
-
+
4865140 = 2257193159
BaseRepresentation
bin10010100011110001110100
3100011011201101
4102203301310
52221141030
6252135444
756232040
oct22436164
910134641
104865140
112823285
121767584
1310145a7
14909020
156617ca
hex4a3c74

4865140 has 96 divisors (see below), whose sum is σ = 12902400. Its totient is φ = 1503360.

The previous prime is 4865137. The next prime is 4865141. The reversal of 4865140 is 415684.

4865140 = 282 + 292 + ... + 2442.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4865099 and 4865108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4865141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82431 + ... + 82489.

It is an arithmetic number, because the mean of its divisors is an integer number (134400).

Almost surely, 24865140 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 4865140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6451200).

4865140 is an abundant number, since it is smaller than the sum of its proper divisors (8037260).

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

4865140 is a wasteful number, since it uses less digits than its factorization.

4865140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 4865140 is about 2205.7062361067. The cubic root of 4865140 is about 169.4461792849.

4865140 divided by its sum of digits (28) gives a triangular number (173755 = T589).

It can be divided in two parts, 4865 and 140, that added together give a palindrome (5005).

The spelling of 4865140 in words is "four million, eight hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 31 35 38 59 62 70 76 95 118 124 133 140 155 190 217 236 266 295 310 380 413 434 532 589 590 620 665 826 868 1085 1121 1178 1180 1330 1652 1829 2065 2170 2242 2356 2660 2945 3658 4123 4130 4340 4484 5605 5890 7316 7847 8246 8260 9145 11210 11780 12803 15694 16492 18290 20615 22420 25606 31388 34751 36580 39235 41230 51212 64015 69502 78470 82460 128030 139004 156940 173755 243257 256060 347510 486514 695020 973028 1216285 2432570 4865140