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20382840 = 23375233
BaseRepresentation
bin100110111000…
…0010001111000
31102100120000000
41031300101320
520204222330
62004513000
7335152122
oct115602170
942316000
1020382840
1110561a25
1269ab760
1342b876a
1429c8212
151bc9560
hex1370478

20382840 has 128 divisors (see below), whose sum is σ = 69076800. Its totient is φ = 5412096.

The previous prime is 20382833. The next prime is 20382889. The reversal of 20382840 is 4828302.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87364 + ... + 87596.

Almost surely, 220382840 is an apocalyptic number.

20382840 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 20382840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34538400).

20382840 is an abundant number, since it is smaller than the sum of its proper divisors (48693960).

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

20382840 is an equidigital number, since it uses as much as digits as its factorization.

20382840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 20382840 is about 4514.7358726730. The cubic root of 20382840 is about 273.1628059210.

The spelling of 20382840 in words is "twenty million, three hundred eighty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 233 243 270 324 360 405 466 486 540 648 699 729 810 932 972 1080 1165 1215 1398 1458 1620 1864 1944 2097 2187 2330 2430 2796 2916 3240 3495 3645 4194 4374 4660 4860 5592 5832 6291 6990 7290 8388 8748 9320 9720 10485 10935 12582 13980 14580 16776 17496 18873 20970 21870 25164 27960 29160 31455 37746 41940 43740 50328 56619 62910 75492 83880 87480 94365 113238 125820 150984 169857 188730 226476 251640 283095 339714 377460 452952 509571 566190 679428 754920 849285 1019142 1132380 1358856 1698570 2038284 2264760 2547855 3397140 4076568 5095710 6794280 10191420 20382840