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20544192 = 26351321
BaseRepresentation
bin100111001011…
…1101011000000
31102122202100000
41032113223000
520224403232
62012200000
7336423414
oct116275300
942582300
1020544192
1110662179
126a69000
134344036
142a2ad44
151c0c27c
hex1397ac0

20544192 has 84 divisors (see below), whose sum is σ = 61113416. Its totient is φ = 6842880.

The previous prime is 20544169. The next prime is 20544193. The reversal of 20544192 is 29144502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20544193) 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, 14892 + ... + 16212.

Almost surely, 220544192 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 20544192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30556708).

20544192 is an abundant number, since it is smaller than the sum of its proper divisors (40569224).

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

20544192 is an equidigital number, since it uses as much as digits as its factorization.

20544192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 20544192 is about 4532.5701318347. The cubic root of 20544192 is about 273.8817043116.

Adding to 20544192 its reverse (29144502), we get a palindrome (49688694).

It can be divided in two parts, 20544 and 192, that added together give a 4-th power (20736 = 124).

The spelling of 20544192 in words is "twenty million, five hundred forty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1321 1728 1944 2592 2642 3888 3963 5184 5284 7776 7926 10568 11889 15552 15852 21136 23778 31704 35667 42272 47556 63408 71334 84544 95112 107001 126816 142668 190224 214002 253632 285336 321003 380448 428004 570672 642006 760896 856008 1141344 1284012 1712016 2282688 2568024 3424032 5136048 6848064 10272096 20544192