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20780480 = 26579277
BaseRepresentation
bin100111101000…
…1010111000000
31110002202110102
41033101113000
520304433410
62021221532
7341426330
oct117212700
943082412
1020780480
1110803756
126b618a8
1343c7756
142a8d0c0
151c572a5
hex13d15c0

20780480 has 56 divisors (see below), whose sum is σ = 56558688. Its totient is φ = 7123968.

The previous prime is 20780479. The next prime is 20780483. The reversal of 20780480 is 8408702.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20780483) 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 7 ways as a sum of consecutive naturals, for example, 2399 + ... + 6878.

Almost surely, 220780480 is an apocalyptic number.

20780480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20780480 is an abundant number, since it is smaller than the sum of its proper divisors (35778208).

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

20780480 is an equidigital number, since it uses as much as digits as its factorization.

20780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9301 (or 9291 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 20780480 is about 4558.5611765117. The cubic root of 20780480 is about 274.9277165392.

The spelling of 20780480 in words is "twenty million, seven hundred eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 9277 18554 37108 46385 64939 74216 92770 129878 148432 185540 259756 296864 324695 371080 519512 593728 649390 742160 1039024 1298780 1484320 2078048 2597560 2968640 4156096 5195120 10390240 20780480