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20314448 = 2471121499
BaseRepresentation
bin100110101111…
…1100101010000
31102020002011222
41031133211100
520200030243
62003224212
7334445540
oct115374520
942202158
1020314448
1110515600
126978068
1342935ab
1429ab320
151bb4168
hex135f950

20314448 has 60 divisors (see below), whose sum is σ = 49476000. Its totient is φ = 7909440.

The previous prime is 20314429. The next prime is 20314453. The reversal of 20314448 is 84441302.

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 11 ways as a sum of consecutive naturals, for example, 12803 + ... + 14301.

It is an arithmetic number, because the mean of its divisors is an integer number (824600).

Almost surely, 220314448 is an apocalyptic number.

20314448 is a gapful number since it is divisible by the number (28) 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 20314448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24738000).

20314448 is an abundant number, since it is smaller than the sum of its proper divisors (29161552).

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

20314448 is a wasteful number, since it uses less digits than its factorization.

20314448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 20314448 is about 4507.1552003453. The cubic root of 20314448 is about 272.8569426745.

The spelling of 20314448 in words is "twenty million, three hundred fourteen thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 121 154 176 242 308 484 616 847 968 1232 1499 1694 1936 2998 3388 5996 6776 10493 11992 13552 16489 20986 23984 32978 41972 65956 83944 115423 131912 167888 181379 230846 263824 362758 461692 725516 923384 1269653 1451032 1846768 2539306 2902064 5078612 10157224 20314448