Search a number
-
+
4878120 = 2335135359
BaseRepresentation
bin10010100110111100101000
3100011211112010
4102212330220
52222044440
6252315520
756314632
oct22467450
910154463
104878120
112832005
121772ba0
13101a480
1490da52
15665580
hex4a6f28

4878120 has 128 divisors (see below), whose sum is σ = 16329600. Its totient is φ = 1158144.

The previous prime is 4878113. The next prime is 4878121. The reversal of 4878120 is 218784.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4878121) 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, 82651 + ... + 82709.

It is an arithmetic number, because the mean of its divisors is an integer number (127575).

Almost surely, 24878120 is an apocalyptic number.

4878120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4878120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8164800).

4878120 is an abundant number, since it is smaller than the sum of its proper divisors (11451480).

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

4878120 is a wasteful number, since it uses less digits than its factorization.

4878120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 4878120 is about 2208.6466444409. The cubic root of 4878120 is about 169.5967373586.

The spelling of 4878120 in words is "four million, eight hundred seventy-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 53 59 60 65 78 104 106 118 120 130 156 159 177 195 212 236 260 265 295 312 318 354 390 424 472 520 530 590 636 689 708 767 780 795 885 1060 1180 1272 1378 1416 1534 1560 1590 1770 2067 2120 2301 2360 2756 3068 3127 3180 3445 3540 3835 4134 4602 5512 6136 6254 6360 6890 7080 7670 8268 9204 9381 10335 11505 12508 13780 15340 15635 16536 18408 18762 20670 23010 25016 27560 30680 31270 37524 40651 41340 46020 46905 62540 75048 81302 82680 92040 93810 121953 125080 162604 187620 203255 243906 325208 375240 406510 487812 609765 813020 975624 1219530 1626040 2439060 4878120