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20027124 = 22321342793
BaseRepresentation
bin100110001100…
…1011011110100
31101200111001100
41030121123310
520111331444
61553130100
7332141055
oct114313364
941614040
1020027124
1110339747
126859930
1341c2890
14293472c
151b58e69
hex13196f4

20027124 has 36 divisors (see below), whose sum is σ = 54519556. Its totient is φ = 6162048.

The previous prime is 20027113. The next prime is 20027129. The reversal of 20027124 is 42172002.

It can be written as a sum of positive squares in 2 ways, for example, as 6411024 + 13616100 = 2532^2 + 3690^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×200271242 = 802171391422752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20027097 and 20027106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20027129) 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 11 ways as a sum of consecutive naturals, for example, 20929 + ... + 21864.

Almost surely, 220027124 is an apocalyptic number.

It is an amenable number.

20027124 is an abundant number, since it is smaller than the sum of its proper divisors (34492432).

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

20027124 is a wasteful number, since it uses less digits than its factorization.

20027124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42816 (or 42811 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 20027124 is about 4475.1674828994. The cubic root of 20027124 is about 271.5644160006.

Adding to 20027124 its reverse (42172002), we get a palindrome (62199126).

The spelling of 20027124 in words is "twenty million, twenty-seven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 42793 85586 128379 171172 256758 385137 513516 556309 770274 1112618 1540548 1668927 2225236 3337854 5006781 6675708 10013562 20027124