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20145753 = 343171113
BaseRepresentation
bin100110011011…
…0011001011001
31101220111210000
41030312121121
520124131003
61555443213
7333143655
oct114663131
941814700
1020145753
111040a891
1268b6509
134234884
142965a65
151b7e1a3
hex1336659

20145753 has 40 divisors (see below), whose sum is σ = 31781376. Its totient is φ = 12700800.

The previous prime is 20145743. The next prime is 20145767. The reversal of 20145753 is 35754102.

It is a happy number.

20145753 is a `hidden beast` number, since 201 + 457 + 5 + 3 = 666.

It is not a de Polignac number, because 20145753 - 25 = 20145721 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20145743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 178225 + ... + 178337.

Almost surely, 220145753 is an apocalyptic number.

It is an amenable number.

20145753 is a deficient number, since it is larger than the sum of its proper divisors (11635623).

20145753 is a wasteful number, since it uses less digits than its factorization.

20145753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 20145753 is about 4488.4020541836. The cubic root of 20145753 is about 272.0995571616.

Adding to 20145753 its reverse (35754102), we get a palindrome (55899855).

It can be divided in two parts, 201 and 45753, that added together give a palindrome (45954).

The spelling of 20145753 in words is "twenty million, one hundred forty-five thousand, seven hundred fifty-three".

Divisors: 1 3 9 27 31 71 81 93 113 213 279 339 639 837 1017 1917 2201 2511 3051 3503 5751 6603 8023 9153 10509 19809 24069 31527 59427 72207 94581 178281 216621 248713 283743 649863 746139 2238417 6715251 20145753