Search a number
-
+
20927232 = 283231293
BaseRepresentation
bin100111111010…
…1001100000000
31110101012202200
41033311030000
520324132412
62024313200
7342610224
oct117651400
943335680
1020927232
11108a3a37
127012800
1344494a1
142aca784
151c859dc
hex13f5300

20927232 has 108 divisors (see below), whose sum is σ = 62497344. Its totient is φ = 6727680.

The previous prime is 20927147. The next prime is 20927233. The reversal of 20927232 is 23272902.

It is a junction number, because it is equal to n+sod(n) for n = 20927196 and 20927205.

It is not an unprimeable number, because it can be changed into a prime (20927233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71278 + ... + 71570.

Almost surely, 220927232 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 20927232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31248672).

20927232 is an abundant number, since it is smaller than the sum of its proper divisors (41570112).

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

20927232 is a wasteful number, since it uses less digits than its factorization.

20927232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 20927232 is about 4574.6291652985. The cubic root of 20927232 is about 275.5733799701.

The spelling of 20927232 in words is "twenty million, nine hundred twenty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 293 372 384 496 558 576 586 744 768 879 992 1116 1152 1172 1488 1758 1984 2232 2304 2344 2637 2976 3516 3968 4464 4688 5274 5952 7032 7936 8928 9083 9376 10548 11904 14064 17856 18166 18752 21096 23808 27249 28128 35712 36332 37504 42192 54498 56256 71424 72664 75008 81747 84384 108996 112512 145328 163494 168768 217992 225024 290656 326988 337536 435984 581312 653976 675072 871968 1162624 1307952 1743936 2325248 2615904 3487872 5231808 6975744 10463616 20927232