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20738424 = 2337197389
BaseRepresentation
bin100111100011…
…1000101111000
31110000121202210
41033013011320
520302112144
62020255120
7341162610
oct117070570
943017683
1020738424
11107850a3
126b414a0
1343b1575
142a7ba40
151c49ab9
hex13c7178

20738424 has 128 divisors (see below), whose sum is σ = 63936000. Its totient is φ = 5474304.

The previous prime is 20738407. The next prime is 20738447. The reversal of 20738424 is 42483702.

It is a junction number, because it is equal to n+sod(n) for n = 20738391 and 20738400.

It is a congruent number.

It is an unprimeable number.

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, 232972 + ... + 233060.

It is an arithmetic number, because the mean of its divisors is an integer number (499500).

Almost surely, 220738424 is an apocalyptic number.

20738424 is a gapful number since it is divisible by the number (24) 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 20738424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31968000).

20738424 is an abundant number, since it is smaller than the sum of its proper divisors (43197576).

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

20738424 is a wasteful number, since it uses less digits than its factorization.

20738424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 20738424 is about 4553.9459812343. The cubic root of 20738424 is about 274.7421229937.

The spelling of 20738424 in words is "twenty million, seven hundred thirty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 73 76 84 89 114 133 146 152 168 178 219 228 266 267 292 356 399 438 456 511 532 534 584 623 712 798 876 1022 1064 1068 1246 1387 1533 1596 1691 1752 1869 2044 2136 2492 2774 3066 3192 3382 3738 4088 4161 4984 5073 5548 6132 6497 6764 7476 8322 9709 10146 11096 11837 12264 12994 13528 14952 16644 19418 19491 20292 23674 25988 29127 33288 35511 38836 38982 40584 45479 47348 51976 58254 71022 77672 77964 90958 94696 116508 123443 136437 142044 155928 181916 233016 246886 272874 284088 363832 370329 493772 545748 740658 864101 987544 1091496 1481316 1728202 2592303 2962632 3456404 5184606 6912808 10369212 20738424