Search a number
-
+
20394240 = 283547113
BaseRepresentation
bin100110111001…
…1000100000000
31102101010122020
41031303010000
520210103430
62005041440
7335230266
oct115630400
942333566
1020394240
111056a549
1269b6280
1342c09c9
1429cc436
151bccb10
hex1373100

20394240 has 144 divisors (see below), whose sum is σ = 67108608. Its totient is φ = 5275648.

The previous prime is 20394233. The next prime is 20394263. The reversal of 20394240 is 4249302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20394240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180424 + ... + 180536.

It is an arithmetic number, because the mean of its divisors is an integer number (466032).

Almost surely, 220394240 is an apocalyptic number.

20394240 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 20394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33554304).

20394240 is an abundant number, since it is smaller than the sum of its proper divisors (46714368).

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

20394240 is a wasteful number, since it uses less digits than its factorization.

20394240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 20394240 is about 4515.9982285205. The cubic root of 20394240 is about 273.2137225353.

The spelling of 20394240 in words is "twenty million, three hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 113 120 128 141 160 188 192 226 235 240 256 282 320 339 376 384 452 470 480 564 565 640 678 705 752 768 904 940 960 1128 1130 1280 1356 1410 1504 1695 1808 1880 1920 2256 2260 2712 2820 3008 3390 3616 3760 3840 4512 4520 5311 5424 5640 6016 6780 7232 7520 9024 9040 10622 10848 11280 12032 13560 14464 15040 15933 18048 18080 21244 21696 22560 26555 27120 28928 30080 31866 36096 36160 42488 43392 45120 53110 54240 60160 63732 72320 79665 84976 86784 90240 106220 108480 127464 144640 159330 169952 180480 212440 216960 254928 318660 339904 424880 433920 509856 637320 679808 849760 1019712 1274640 1359616 1699520 2039424 2549280 3399040 4078848 5098560 6798080 10197120 20394240