Search a number
-
+
20424040 = 23571331181
BaseRepresentation
bin100110111101…
…0010101101000
31102102122111221
41031322111220
520212032130
62005431424
7335413210
oct115722550
942378457
1020424040
111058a97a
126a0b574
134301440
1429d9240
151bd687a
hex137a568

20424040 has 128 divisors (see below), whose sum is σ = 58705920. Its totient is φ = 6220800.

The previous prime is 20423989. The next prime is 20424043. The reversal of 20424040 is 4042402.

It is not an unprimeable number, because it can be changed into a prime (20424043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112750 + ... + 112930.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 220424040 is an apocalyptic number.

20424040 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 20424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29352960).

20424040 is an abundant number, since it is smaller than the sum of its proper divisors (38281880).

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

20424040 is a wasteful number, since it uses less digits than its factorization.

20424040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 20424040 is about 4519.2964054153. The cubic root of 20424040 is about 273.3467307862.

Adding to 20424040 its reverse (4042402), we get a palindrome (24466442).

The spelling of 20424040 in words is "twenty million, four hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 31 35 40 52 56 62 65 70 91 104 124 130 140 155 181 182 217 248 260 280 310 362 364 403 434 455 520 620 724 728 806 868 905 910 1085 1240 1267 1448 1612 1736 1810 1820 2015 2170 2353 2534 2821 3224 3620 3640 4030 4340 4706 5068 5611 5642 6335 7240 8060 8680 9412 10136 11222 11284 11765 12670 14105 16120 16471 18824 22444 22568 23530 25340 28055 28210 32942 39277 44888 47060 50680 56110 56420 65884 72943 78554 82355 94120 112220 112840 131768 145886 157108 164710 196385 224440 291772 314216 329420 364715 392770 510601 583544 658840 729430 785540 1021202 1458860 1571080 2042404 2553005 2917720 4084808 5106010 10212020 20424040