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20320944 = 2437197307
BaseRepresentation
bin100110110000…
…1001010110000
31102020102002120
41031201022300
520200232234
62003314240
7334503510
oct115411260
942212076
1020320944
111051a476
12697b980
134296537
1429ad840
151bb6049
hex13612b0

20320944 has 80 divisors (see below), whose sum is σ = 60496128. Its totient is φ = 5757696.

The previous prime is 20320939. The next prime is 20320961. The reversal of 20320944 is 44902302.

It is a happy number.

It is a super-2 number, since 2×203209442 = 825881530102272, which contains 22 as substring.

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

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, 66039 + ... + 66345.

Almost surely, 220320944 is an apocalyptic number.

20320944 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 20320944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30248064).

20320944 is an abundant number, since it is smaller than the sum of its proper divisors (40175184).

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

20320944 is a wasteful number, since it uses less digits than its factorization.

20320944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 516 counting only the distinct ones).

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

The square root of 20320944 is about 4507.8757746859. The cubic root of 20320944 is about 272.8860236157.

The spelling of 20320944 in words is "twenty million, three hundred twenty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 197 307 336 394 591 614 788 921 1182 1228 1379 1576 1842 2149 2364 2456 2758 3152 3684 4137 4298 4728 4912 5516 6447 7368 8274 8596 9456 11032 12894 14736 16548 17192 22064 25788 33096 34384 51576 60479 66192 103152 120958 181437 241916 362874 423353 483832 725748 846706 967664 1270059 1451496 1693412 2540118 2902992 3386824 5080236 6773648 10160472 20320944