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53640320 = 27583813
BaseRepresentation
bin1100110010011…
…1110010000000
310201221012200112
43030213302000
5102212442240
65153410452
71220635526
oct314476200
9121835615
1053640320
1128307848
1215b69a28
13b161346
1471a4316
154a98665
hex3327c80

53640320 has 32 divisors (see below), whose sum is σ = 128235420. Its totient is φ = 21455872.

The previous prime is 53640319. The next prime is 53640329. The reversal of 53640320 is 2304635.

It can be written as a sum of positive squares in 2 ways, for example, as 51724864 + 1915456 = 7192^2 + 1384^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (53640329) 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 3 ways as a sum of consecutive naturals, for example, 41267 + ... + 42546.

Almost surely, 253640320 is an apocalyptic number.

It is an amenable number.

53640320 is an abundant number, since it is smaller than the sum of its proper divisors (74595100).

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

53640320 is an equidigital number, since it uses as much as digits as its factorization.

53640320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83832 (or 83820 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 53640320 is about 7323.9552155922. The cubic root of 53640320 is about 377.1352440634.

Adding to 53640320 its reverse (2304635), we get a palindrome (55944955).

The spelling of 53640320 in words is "fifty-three million, six hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 83813 167626 335252 419065 670504 838130 1341008 1676260 2682016 3352520 5364032 6705040 10728064 13410080 26820160 53640320