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20506332 = 22371122193
BaseRepresentation
bin100111000111…
…0011011011100
31102120211101210
41032032123130
520222200312
62011304420
7336205140
oct116163334
942524353
1020506332
1110636790
126a4b110
13432ca32
142a1b220
151c00e3c
hex138e6dc

20506332 has 48 divisors (see below), whose sum is σ = 59657472. Its totient is φ = 5326080.

The previous prime is 20506331. The next prime is 20506337. The reversal of 20506332 is 23360502.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20506299 and 20506308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20506331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10173 + ... + 12020.

It is an arithmetic number, because the mean of its divisors is an integer number (1242864).

Almost surely, 220506332 is an apocalyptic number.

20506332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20506332 is an abundant number, since it is smaller than the sum of its proper divisors (39151140).

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

20506332 is a wasteful number, since it uses less digits than its factorization.

20506332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22218 (or 22216 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 20506332 is about 4528.3917675042. The cubic root of 20506332 is about 273.7133592877.

Adding to 20506332 its reverse (23360502), we get a palindrome (43866834).

The spelling of 20506332 in words is "twenty million, five hundred six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 22193 44386 66579 88772 133158 155351 244123 266316 310702 466053 488246 621404 732369 932106 976492 1464738 1708861 1864212 2929476 3417722 5126583 6835444 10253166 20506332