Search a number
-
+
20302830 = 23251931383
BaseRepresentation
bin100110101110…
…0101111101110
31102012111020200
41031130233232
520144142310
62003054330
7334366632
oct115345756
942174220
1020302830
11105078a9
1269713a6
13428b212
1429a6dc2
151bb09c0
hex135cbee

20302830 has 96 divisors (see below), whose sum is σ = 57507840. Its totient is φ = 4950720.

The previous prime is 20302829. The next prime is 20302847. The reversal of 20302830 is 3820302.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52819 + ... + 53201.

It is an arithmetic number, because the mean of its divisors is an integer number (599040).

Almost surely, 220302830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20302830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28753920).

20302830 is an abundant number, since it is smaller than the sum of its proper divisors (37205010).

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

20302830 is a wasteful number, since it uses less digits than its factorization.

20302830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20302830 is about 4505.8661764416. The cubic root of 20302830 is about 272.8049163781.

The spelling of 20302830 in words is "twenty million, three hundred two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 31 38 45 57 62 90 93 95 114 155 171 186 190 279 285 310 342 383 465 558 570 589 766 855 930 1149 1178 1395 1710 1767 1915 2298 2790 2945 3447 3534 3830 5301 5745 5890 6894 7277 8835 10602 11490 11873 14554 17235 17670 21831 23746 26505 34470 35619 36385 43662 53010 59365 65493 71238 72770 106857 109155 118730 130986 178095 213714 218310 225587 327465 356190 451174 534285 654930 676761 1068570 1127935 1353522 2030283 2255870 3383805 4060566 6767610 10151415 20302830