Search a number
-
+
203939820 = 223257179521
BaseRepresentation
bin11000010011111…
…01111111101100
3112012202012211200
430021331333230
5404202033240
632123045500
75024313510
oct1411757754
9465665750
10203939820
11a5134007
1258370890
1333336666
141d12a140
1512d86930
hexc27dfec

203939820 has 144 divisors (see below), whose sum is σ = 748657728. Its totient is φ = 43868160.

The previous prime is 203939809. The next prime is 203939849. The reversal of 203939820 is 28939302.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 13.

It is a zygodrome in base 13.

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, 16660 + ... + 26180.

It is an arithmetic number, because the mean of its divisors is an integer number (5199012).

Almost surely, 2203939820 is an apocalyptic number.

203939820 is a gapful number since it is divisible by the number (20) 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 203939820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374328864).

203939820 is an abundant number, since it is smaller than the sum of its proper divisors (544717908).

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

203939820 is a wasteful number, since it uses less digits than its factorization.

203939820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9560 (or 9555 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 203939820 is about 14280.7499803057. The cubic root of 203939820 is about 588.6186394696.

The spelling of 203939820 in words is "two hundred three million, nine hundred thirty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2380 3060 3570 4284 5355 7140 9521 10710 19042 21420 28563 38084 47605 57126 66647 85689 95210 114252 133294 142815 161857 171378 190420 199941 266588 285630 323714 333235 342756 399882 428445 485571 571260 599823 647428 666470 799764 809285 856890 971142 999705 1132999 1199646 1332940 1456713 1618570 1713780 1942284 1999410 2265998 2399292 2427855 2913426 2999115 3237140 3398997 3998820 4531996 4855710 5664995 5826852 5998230 6797994 7283565 9711420 10196991 11329990 11996460 13595988 14567130 16994985 20393982 22659980 29134260 33989970 40787964 50984955 67979940 101969910 203939820