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20836480 = 27574651
BaseRepresentation
bin100111101111…
…1000010000000
31110012121021111
41033133002000
520313231410
62022333104
7342051520
oct117370200
943177244
1020836480
1110841835
126b8a194
1344170a2
142aa5680
151c68b8a
hex13df080

20836480 has 64 divisors (see below), whose sum is σ = 56940480. Its totient is φ = 7142400.

The previous prime is 20836477. The next prime is 20836507. The reversal of 20836480 is 8463802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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, 2155 + ... + 6805.

It is an arithmetic number, because the mean of its divisors is an integer number (889695).

Almost surely, 220836480 is an apocalyptic number.

20836480 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 20836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28470240).

20836480 is an abundant number, since it is smaller than the sum of its proper divisors (36104000).

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

20836480 is an equidigital number, since it uses as much as digits as its factorization.

20836480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677 (or 4665 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 20836480 is about 4564.6993329243. The cubic root of 20836480 is about 275.1744567964.

It can be divided in two parts, 20836 and 480, that added together give a square (21316 = 1462).

The spelling of 20836480 in words is "twenty million, eight hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 4651 9302 18604 23255 32557 37208 46510 65114 74416 93020 130228 148832 162785 186040 260456 297664 325570 372080 520912 595328 651140 744160 1041824 1302280 1488320 2083648 2604560 2976640 4167296 5209120 10418240 20836480