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20620080 = 24325132203
BaseRepresentation
bin100111010101…
…0001100110000
31102210121102200
41032222030300
520234320310
62013543200
7340160565
oct116521460
942717380
1020620080
1110704198
126aa4b00
13436c740
142a4a86c
151c249c0
hex13aa330

20620080 has 120 divisors (see below), whose sum is σ = 74609808. Its totient is φ = 5073408.

The previous prime is 20620079. The next prime is 20620081. The reversal of 20620080 is 8002602.

It is an interprime number because it is at equal distance from previous prime (20620079) and next prime (20620081).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (20620081) 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, 8259 + ... + 10461.

Almost surely, 220620080 is an apocalyptic number.

20620080 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 20620080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37304904).

20620080 is an abundant number, since it is smaller than the sum of its proper divisors (53989728).

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

20620080 is a wasteful number, since it uses less digits than its factorization.

20620080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20620080 is about 4540.9338246665. The cubic root of 20620080 is about 274.2185196263.

Adding to 20620080 its reverse (8002602), we get a palindrome (28622682).

The spelling of 20620080 in words is "twenty million, six hundred twenty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2203 2340 3120 4406 4680 6609 8812 9360 11015 13218 17624 19827 22030 26436 28639 33045 35248 39654 44060 52872 57278 66090 79308 85917 88120 99135 105744 114556 132180 143195 158616 171834 176240 198270 229112 257751 264360 286390 317232 343668 396540 429585 458224 515502 528720 572780 687336 793080 859170 1031004 1145560 1288755 1374672 1586160 1718340 2062008 2291120 2577510 3436680 4124016 5155020 6873360 10310040 20620080