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20530980 = 22325167683
BaseRepresentation
bin100111001010…
…0011100100100
31102122002012200
41032110130210
520223442410
62012014500
7336340041
oct116243444
942562180
1020530980
1110653258
126a61430
13433b012
142a261c8
151c083c0
hex1394724

20530980 has 72 divisors (see below), whose sum is σ = 62741952. Its totient is φ = 5434176.

The previous prime is 20530969. The next prime is 20530987. The reversal of 20530980 is 8903502.

It is a super-2 number, since 2×205309802 = 843042279520800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20530987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29719 + ... + 30401.

It is an arithmetic number, because the mean of its divisors is an integer number (871416).

Almost surely, 220530980 is an apocalyptic number.

20530980 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 20530980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31370976).

20530980 is an abundant number, since it is smaller than the sum of its proper divisors (42210972).

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

20530980 is a wasteful number, since it uses less digits than its factorization.

20530980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 20530980 is about 4531.1124461880. The cubic root of 20530980 is about 273.8229804795.

The spelling of 20530980 in words is "twenty million, five hundred thirty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 167 180 334 501 668 683 835 1002 1366 1503 1670 2004 2049 2505 2732 3006 3340 3415 4098 5010 6012 6147 6830 7515 8196 10020 10245 12294 13660 15030 20490 24588 30060 30735 40980 61470 114061 122940 228122 342183 456244 570305 684366 1026549 1140610 1368732 1710915 2053098 2281220 3421830 4106196 5132745 6843660 10265490 20530980