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20535201 = 36171657
BaseRepresentation
bin100111001010…
…1011110100001
31102122022000000
41032111132201
520224111301
62012050213
7336355251
oct116253641
942568000
1020535201
1110656445
126a63969
13433cc0b
142a27961
151c09786
hex13957a1

20535201 has 28 divisors (see below), whose sum is σ = 32619492. Its totient is φ = 12877056.

The previous prime is 20535197. The next prime is 20535211. The reversal of 20535201 is 10253502.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11390625 + 9144576 = 3375^2 + 3024^2 .

It is not a de Polignac number, because 20535201 - 22 = 20535197 is a prime.

It is a super-2 number, since 2×205352012 = 843388960220802, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20535211) 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 27 ways as a sum of consecutive naturals, for example, 11565 + ... + 13221.

Almost surely, 220535201 is an apocalyptic number.

It is an amenable number.

20535201 is a deficient number, since it is larger than the sum of its proper divisors (12084291).

20535201 is an equidigital number, since it uses as much as digits as its factorization.

20535201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 20535201 is about 4531.5782019071. The cubic root of 20535201 is about 273.8417444417.

Adding to 20535201 its reverse (10253502), we get a palindrome (30788703).

It can be divided in two parts, 20535 and 201, that added together give a 4-th power (20736 = 124).

The spelling of 20535201 in words is "twenty million, five hundred thirty-five thousand, two hundred one".

Divisors: 1 3 9 17 27 51 81 153 243 459 729 1377 1657 4131 4971 12393 14913 28169 44739 84507 134217 253521 402651 760563 1207953 2281689 6845067 20535201