Search a number
-
+
20564928 = 26343967
BaseRepresentation
bin100111001110…
…0101111000000
31102200210210000
41032130233000
520231034203
62012440000
7336541026
oct116345700
942623700
1020564928
111067680a
126a79000
1343505c7
142a34716
151c134a3
hex139cbc0

20564928 has 70 divisors (see below), whose sum is σ = 60976256. Its totient is φ = 6853248.

The previous prime is 20564923. The next prime is 20564941. The reversal of 20564928 is 82946502.

It is a happy number.

20564928 is a `hidden beast` number, since 2 + 0 + 5 + 649 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20564892 and 20564901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20564923) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3201 + ... + 7167.

Almost surely, 220564928 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 20564928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30488128).

20564928 is an abundant number, since it is smaller than the sum of its proper divisors (40411328).

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

20564928 is an equidigital number, since it uses as much as digits as its factorization.

20564928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3991 (or 3972 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 20564928 is about 4534.8569988479. The cubic root of 20564928 is about 273.9738195811.

The spelling of 20564928 in words is "twenty million, five hundred sixty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 3967 5184 7934 11901 15868 23802 31736 35703 47604 63472 71406 95208 107109 126944 142812 190416 214218 253888 285624 321327 380832 428436 571248 642654 761664 856872 1142496 1285308 1713744 2284992 2570616 3427488 5141232 6854976 10282464 20564928