Search a number
-
+
4686814140 = 2235416432963
BaseRepresentation
bin1000101110101101…
…10001101110111100
3110002122001211022220
410113112301232330
534044311023030
62053022405340
7224100156111
oct42726615674
913078054286
104686814140
111a95647918
12aa9730850
13598cc5108
14326658908
151c66e0a10
hex1175b1bbc

4686814140 has 96 divisors (see below), whose sum is σ = 13468605696. Its totient is φ = 1217026560.

The previous prime is 4686814129. The next prime is 4686814163. The reversal of 4686814140 is 414186864.

It is a junction number, because it is equal to n+sod(n) for n = 4686814092 and 4686814101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1580299 + ... + 1583261.

It is an arithmetic number, because the mean of its divisors is an integer number (140297976).

Almost surely, 24686814140 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 4686814140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6734302848).

4686814140 is an abundant number, since it is smaller than the sum of its proper divisors (8781791556).

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

4686814140 is a wasteful number, since it uses less digits than its factorization.

4686814140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3659 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 4686814140 is about 68460.3106916701. The cubic root of 4686814140 is about 1673.5007468182.

The spelling of 4686814140 in words is "four billion, six hundred eighty-six million, eight hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 643 820 1230 1286 1929 2460 2572 2963 3215 3858 5926 6430 7716 8889 9645 11852 12860 14815 17778 19290 26363 29630 35556 38580 44445 52726 59260 79089 88890 105452 121483 131815 158178 177780 242966 263630 316356 364449 395445 485932 527260 607415 728898 790890 1214830 1457796 1581780 1822245 1905209 2429660 3644490 3810418 5715627 7288980 7620836 9526045 11431254 19052090 22862508 28578135 38104180 57156270 78113569 114312540 156227138 234340707 312454276 390567845 468681414 781135690 937362828 1171703535 1562271380 2343407070 4686814140