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20927712 = 2531341409
BaseRepresentation
bin100111111010…
…1010011100000
31110101020102110
41033311103200
520324141322
62024315320
7342611511
oct117652340
943336373
1020927712
11108a4333
127012b40
134449780
142acaa08
151c85c0c
hex13f54e0

20927712 has 96 divisors (see below), whose sum is σ = 60752160. Its totient is φ = 6266880.

The previous prime is 20927707. The next prime is 20927719. The reversal of 20927712 is 21772902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 20927712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20927719) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 50964 + ... + 51372.

It is an arithmetic number, because the mean of its divisors is an integer number (632835).

Almost surely, 220927712 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 20927712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30376080).

20927712 is an abundant number, since it is smaller than the sum of its proper divisors (39824448).

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

20927712 is a wasteful number, since it uses less digits than its factorization.

20927712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 20927712 is about 4574.6816282666. The cubic root of 20927712 is about 275.5754868614.

The spelling of 20927712 in words is "twenty million, nine hundred twenty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 78 82 96 104 123 156 164 208 246 312 328 409 416 492 533 624 656 818 984 1066 1227 1248 1312 1599 1636 1968 2132 2454 3198 3272 3936 4264 4908 5317 6396 6544 8528 9816 10634 12792 13088 15951 16769 17056 19632 21268 25584 31902 33538 39264 42536 50307 51168 63804 67076 85072 100614 127608 134152 170144 201228 217997 255216 268304 402456 435994 510432 536608 653991 804912 871988 1307982 1609824 1743976 2615964 3487952 5231928 6975904 10463856 20927712