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20939136 = 273311759
BaseRepresentation
bin100111111100…
…0000110000000
31110101211002120
41033320012000
520330023021
62024444240
7342660021
oct117700600
943354076
1020939136
1110901979
127019680
134451a2a
142ad0c48
151c892c6
hex13f8180

20939136 has 64 divisors (see below), whose sum is σ = 57446400. Its totient is φ = 6750720.

The previous prime is 20939123. The next prime is 20939147. The reversal of 20939136 is 63193902.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 20939097 and 20939106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11025 + ... + 12783.

It is an arithmetic number, because the mean of its divisors is an integer number (897600).

Almost surely, 220939136 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 20939136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28723200).

20939136 is an abundant number, since it is smaller than the sum of its proper divisors (36507264).

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

20939136 is a wasteful number, since it uses less digits than its factorization.

20939136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 20939136 is about 4575.9300693957. The cubic root of 20939136 is about 275.6256213704.

The spelling of 20939136 in words is "twenty million, nine hundred thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1759 1984 2976 3518 3968 5277 5952 7036 10554 11904 14072 21108 28144 42216 54529 56288 84432 109058 112576 163587 168864 218116 225152 327174 337728 436232 654348 675456 872464 1308696 1744928 2617392 3489856 5234784 6979712 10469568 20939136