Search a number
-
+
4998720 = 263541127
BaseRepresentation
bin10011000100011001000000
3100101221221210
4103010121000
52234424340
6255050120
760326346
oct23043100
910357853
104998720
112904681
121810940
13106032c
14941996
1568b180
hex4c4640

4998720 has 112 divisors (see below), whose sum is σ = 16386048. Its totient is φ = 1290240.

The previous prime is 4998713. The next prime is 4998733. The reversal of 4998720 is 278994.

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, 39297 + ... + 39423.

It is an arithmetic number, because the mean of its divisors is an integer number (146304).

Almost surely, 24998720 is an apocalyptic number.

4998720 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 4998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8193024).

4998720 is an abundant number, since it is smaller than the sum of its proper divisors (11387328).

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

4998720 is a wasteful number, since it uses less digits than its factorization.

4998720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 4998720 is about 2235.7817424785. The cubic root of 4998720 is about 170.9830016276.

The spelling of 4998720 in words is "four million, nine hundred ninety-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 127 160 164 192 205 240 246 254 320 328 381 410 480 492 508 615 635 656 762 820 960 984 1016 1230 1270 1312 1524 1640 1905 1968 2032 2460 2540 2624 3048 3280 3810 3936 4064 4920 5080 5207 6096 6560 7620 7872 8128 9840 10160 10414 12192 13120 15240 15621 19680 20320 20828 24384 26035 30480 31242 39360 40640 41656 52070 60960 62484 78105 83312 104140 121920 124968 156210 166624 208280 249936 312420 333248 416560 499872 624840 833120 999744 1249680 1666240 2499360 4998720