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20540448 = 253273977
BaseRepresentation
bin100111001011…
…0110000100000
31102122120012100
41032112300200
520224243243
62012130400
7336406455
oct116266040
942576170
1020540448
111065a385
126a66a00
134342416
142a2982c
151c0b0d3
hex1396c20

20540448 has 72 divisors (see below), whose sum is σ = 59272668. Its totient is φ = 6746112.

The previous prime is 20540441. The next prime is 20540453. The reversal of 20540448 is 84404502.

It can be written as a sum of positive squares in 2 ways, for example, as 18766224 + 1774224 = 4332^2 + 1332^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (20540441) 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, 20536 + ... + 21512.

Almost surely, 220540448 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 20540448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29636334).

20540448 is an abundant number, since it is smaller than the sum of its proper divisors (38732220).

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

20540448 is a wasteful number, since it uses less digits than its factorization.

20540448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 20540448 is about 4532.1571023079. The cubic root of 20540448 is about 273.8650657827.

The spelling of 20540448 in words is "twenty million, five hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 584 657 876 977 1168 1314 1752 1954 2336 2628 2931 3504 3908 5256 5862 7008 7816 8793 10512 11724 15632 17586 21024 23448 31264 35172 46896 70344 71321 93792 140688 142642 213963 281376 285284 427926 570568 641889 855852 1141136 1283778 1711704 2282272 2567556 3423408 5135112 6846816 10270224 20540448