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20506020 = 2235675101
BaseRepresentation
bin100111000111…
…0010110100100
31102120210222020
41032032112210
520222143040
62011303140
7336204213
oct116162644
942523866
1020506020
1110636527
126a4aab0
13432c852
142a1b07a
151c00cd0
hex138e5a4

20506020 has 48 divisors (see below), whose sum is σ = 58285248. Its totient is φ = 5385600.

The previous prime is 20506019. The next prime is 20506021. The reversal of 20506020 is 2060502.

It is an interprime number because it is at equal distance from previous prime (20506019) and next prime (20506021).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (20506021) 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, 1470 + ... + 6570.

It is an arithmetic number, because the mean of its divisors is an integer number (1214276).

Almost surely, 220506020 is an apocalyptic number.

20506020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20506020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29142624).

20506020 is an abundant number, since it is smaller than the sum of its proper divisors (37779228).

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

20506020 is a wasteful number, since it uses less digits than its factorization.

20506020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5180 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 20506020 is about 4528.3573180570. The cubic root of 20506020 is about 273.7119711148.

Adding to 20506020 its reverse (2060502), we get a palindrome (22566522).

The spelling of 20506020 in words is "twenty million, five hundred six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 4020 5101 10202 15303 20404 25505 30606 51010 61212 76515 102020 153030 306060 341767 683534 1025301 1367068 1708835 2050602 3417670 4101204 5126505 6835340 10253010 20506020