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20530320 = 2435131653
BaseRepresentation
bin100111001010…
…0010010010000
31102122001022020
41032110102100
520223432240
62012011440
7336335106
oct116242220
942561266
1020530320
1110652808
126a60b80
13433a925
142a25c76
151c080d0
hex1394490

20530320 has 80 divisors (see below), whose sum is σ = 64228032. Its totient is φ = 5424640.

The previous prime is 20530313. The next prime is 20530327. The reversal of 20530320 is 2303502.

It is an interprime number because it is at equal distance from previous prime (20530313) and next prime (20530327).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 20530320.

It is not an unprimeable number, because it can be changed into a prime (20530327) 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, 31114 + ... + 31766.

Almost surely, 220530320 is an apocalyptic number.

20530320 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 20530320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32114016).

20530320 is an abundant number, since it is smaller than the sum of its proper divisors (43697712).

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

20530320 is a wasteful number, since it uses less digits than its factorization.

20530320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 20530320 is about 4531.0396158056. The cubic root of 20530320 is about 273.8200462941.

Adding to 20530320 its reverse (2303502), we get a palindrome (22833822).

The spelling of 20530320 in words is "twenty million, five hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 240 262 393 524 653 655 786 1048 1306 1310 1572 1959 1965 2096 2612 2620 3144 3265 3918 3930 5224 5240 6288 6530 7836 7860 9795 10448 10480 13060 15672 15720 19590 26120 31344 31440 39180 52240 78360 85543 156720 171086 256629 342172 427715 513258 684344 855430 1026516 1283145 1368688 1710860 2053032 2566290 3421720 4106064 5132580 6843440 10265160 20530320