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20620680 = 2335227757
BaseRepresentation
bin100111010101…
…0010110001000
31102210122020220
41032222112020
520234330210
62013550040
7340162413
oct116522610
942718226
1020620680
1110704693
126aa5320
13436cab2
142a4ab7a
151c24c70
hex13aa588

20620680 has 64 divisors (see below), whose sum is σ = 62216640. Its totient is φ = 5467392.

The previous prime is 20620679. The next prime is 20620687. The reversal of 20620680 is 8602602.

It is a Cunningham number, because it is equal to 45412-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20620680.

It is not an unprimeable number, because it can be changed into a prime (20620687) 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 15 ways as a sum of consecutive naturals, for example, 26862 + ... + 27618.

It is an arithmetic number, because the mean of its divisors is an integer number (972135).

Almost surely, 220620680 is an apocalyptic number.

20620680 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 20620680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31108320).

20620680 is an abundant number, since it is smaller than the sum of its proper divisors (41595960).

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

20620680 is a wasteful number, since it uses less digits than its factorization.

20620680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 20620680 is about 4540.9998898921. Note that the first 3 decimals coincide. The cubic root of 20620680 is about 274.2211793236.

The spelling of 20620680 in words is "twenty million, six hundred twenty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 227 454 681 757 908 1135 1362 1514 1816 2270 2271 2724 3028 3405 3785 4540 4542 5448 6056 6810 7570 9080 9084 11355 13620 15140 18168 22710 27240 30280 45420 90840 171839 343678 515517 687356 859195 1031034 1374712 1718390 2062068 2577585 3436780 4124136 5155170 6873560 10310340 20620680