Search a number
-
+
20928224 = 251723173
BaseRepresentation
bin100111111010…
…1011011100000
31110101021010102
41033311123200
520324200344
62024321532
7342613142
oct117653340
943337112
1020928224
11108a4759
1270132a8
134449a85
142acac92
151c85e4e
hex13f56e0

20928224 has 72 divisors (see below), whose sum is σ = 45799488. Its totient is φ = 9400320.

The previous prime is 20928223. The next prime is 20928239. The reversal of 20928224 is 42282902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20928223) 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, 286652 + ... + 286724.

It is an arithmetic number, because the mean of its divisors is an integer number (636104).

Almost surely, 220928224 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 20928224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22899744).

20928224 is an abundant number, since it is smaller than the sum of its proper divisors (24871264).

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

20928224 is a wasteful number, since it uses less digits than its factorization.

20928224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 20928224 is about 4574.7375881027. The cubic root of 20928224 is about 275.5777341766.

The spelling of 20928224 in words is "twenty million, nine hundred twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 73 124 136 146 248 272 289 292 496 527 544 578 584 992 1054 1156 1168 1241 2108 2263 2312 2336 2482 4216 4526 4624 4964 8432 8959 9052 9248 9928 16864 17918 18104 19856 21097 35836 36208 38471 39712 42194 71672 72416 76942 84388 143344 153884 168776 286688 307768 337552 615536 654007 675104 1231072 1308014 2616028 5232056 10464112 20928224