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20544768 = 283237241
BaseRepresentation
bin100111001011…
…1110100000000
31102122210010100
41032113310000
520224413033
62012202400
7336425166
oct116276400
942583110
1020544768
1110662652
126a69400
13434438a
142a2b236
151c0c513
hex1397d00

20544768 has 108 divisors (see below), whose sum is σ = 61089028. Its totient is φ = 6635520.

The previous prime is 20544763. The next prime is 20544779. The reversal of 20544768 is 86744502.

20544768 is a `hidden beast` number, since 205 + 447 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17040384 + 3504384 = 4128^2 + 1872^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20544763) 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, 85128 + ... + 85368.

Almost surely, 220544768 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 20544768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30544514).

20544768 is an abundant number, since it is smaller than the sum of its proper divisors (40544260).

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

20544768 is a wasteful number, since it uses less digits than its factorization.

20544768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 20544768 is about 4532.6336714983. The cubic root of 20544768 is about 273.8842639059.

It can be divided in two parts, 20544 and 768, that added together give a palindrome (21312).

The spelling of 20544768 in words is "twenty million, five hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 241 256 288 296 333 384 444 482 576 592 666 723 768 888 964 1152 1184 1332 1446 1776 1928 2169 2304 2368 2664 2892 3552 3856 4338 4736 5328 5784 7104 7712 8676 8917 9472 10656 11568 14208 15424 17352 17834 21312 23136 26751 28416 30848 34704 35668 42624 46272 53502 61696 69408 71336 80253 85248 92544 107004 138816 142672 160506 185088 214008 277632 285344 321012 428016 555264 570688 642024 856032 1141376 1284048 1712064 2282752 2568096 3424128 5136192 6848256 10272384 20544768