Search a number
-
+
4986960 = 2435111889
BaseRepresentation
bin10011000001100001010000
3100101100211020
4103001201100
52234040320
6254515440
760250146
oct23014120
910340736
104986960
1128a6860
121805b80
131057b84
1493b596
15687940
hex4c1850

4986960 has 80 divisors (see below), whose sum is σ = 16873920. Its totient is φ = 1208320.

The previous prime is 4986959. The next prime is 4986977. The reversal of 4986960 is 696894.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1696 + ... + 3584.

It is an arithmetic number, because the mean of its divisors is an integer number (210924).

Almost surely, 24986960 is an apocalyptic number.

4986960 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 4986960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436960).

4986960 is an abundant number, since it is smaller than the sum of its proper divisors (11886960).

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

4986960 is a wasteful number, since it uses less digits than its factorization.

4986960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 4986960 is about 2233.1502412511. The cubic root of 4986960 is about 170.8488113413.

The spelling of 4986960 in words is "four million, nine hundred eighty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 1889 2640 3778 5667 7556 9445 11334 15112 18890 20779 22668 28335 30224 37780 41558 45336 56670 62337 75560 83116 90672 103895 113340 124674 151120 166232 207790 226680 249348 311685 332464 415580 453360 498696 623370 831160 997392 1246740 1662320 2493480 4986960