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20938484 = 2272317337
BaseRepresentation
bin100111111011…
…1111011110100
31110101210012102
41033313323310
520330012414
62024441232
7342655100
oct117677364
943353172
1020938484
1110901436
127019218
134451648
142ad0900
151c88ede
hex13f7ef4

20938484 has 36 divisors (see below), whose sum is σ = 42886116. Its totient is φ = 8918784.

The previous prime is 20938481. The next prime is 20938501. The reversal of 20938484 is 48483902.

It can be written as a sum of positive squares in 2 ways, for example, as 3062500 + 17875984 = 1750^2 + 4228^2 .

It is a super-2 number, since 2×209384842 = 876840224436512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20938481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61964 + ... + 62300.

It is an arithmetic number, because the mean of its divisors is an integer number (1191281).

Almost surely, 220938484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20938484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21443058).

20938484 is an abundant number, since it is smaller than the sum of its proper divisors (21947632).

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

20938484 is a wasteful number, since it uses less digits than its factorization.

20938484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 20938484 is about 4575.8588264937. The cubic root of 20938484 is about 275.6227605428.

The spelling of 20938484 in words is "twenty million, nine hundred thirty-eight thousand, four hundred eighty-four".

Divisors: 1 2 4 7 14 28 49 98 196 317 337 634 674 1268 1348 2219 2359 4438 4718 8876 9436 15533 16513 31066 33026 62132 66052 106829 213658 427316 747803 1495606 2991212 5234621 10469242 20938484