Search a number
-
+
20843568 = 24361787
BaseRepresentation
bin100111110000…
…0110000110000
31110012222000000
41033200300300
520313443233
62022430000
7342111264
oct117406060
943188000
1020843568
1110847099
126b92300
13441a395
142aa80a4
151c6ad13
hex13e0c30

20843568 has 70 divisors (see below), whose sum is σ = 60582804. Its totient is φ = 6943968.

The previous prime is 20843567. The next prime is 20843569. The reversal of 20843568 is 86534802.

It is an interprime number because it is at equal distance from previous prime (20843567) and next prime (20843569).

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

It is not an unprimeable number, because it can be changed into a prime (20843561) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 10771 + ... + 12557.

Almost surely, 220843568 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 20843568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30291402).

20843568 is an abundant number, since it is smaller than the sum of its proper divisors (39739236).

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

20843568 is an equidigital number, since it uses as much as digits as its factorization.

20843568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 20843568 is about 4565.4756597752. The cubic root of 20843568 is about 275.2056555310.

The spelling of 20843568 in words is "twenty million, eight hundred forty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1787 1944 2916 3574 3888 5361 5832 7148 10722 11664 14296 16083 21444 28592 32166 42888 48249 64332 85776 96498 128664 144747 192996 257328 289494 385992 434241 578988 771984 868482 1157976 1302723 1736964 2315952 2605446 3473928 5210892 6947856 10421784 20843568