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20744120 = 235895827
BaseRepresentation
bin100111100100…
…0011110111000
31110000220120202
41033020132320
520302302440
62020341332
7341215325
oct117103670
943026522
1020744120
1110789401
126b44848
1343b4037
142a7db4c
151c4b615
hex13c87b8

20744120 has 32 divisors (see below), whose sum is σ = 47206800. Its totient is φ = 8203008.

The previous prime is 20744111. The next prime is 20744167. The reversal of 20744120 is 2144702.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20744092 and 20744101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 647 + ... + 6473.

Almost surely, 220744120 is an apocalyptic number.

20744120 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 20744120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23603400).

20744120 is an abundant number, since it is smaller than the sum of its proper divisors (26462680).

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

20744120 is a wasteful number, since it uses less digits than its factorization.

20744120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5927 (or 5923 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 20744120 is about 4554.5713299936. The cubic root of 20744120 is about 274.7672741797.

Adding to 20744120 its reverse (2144702), we get a palindrome (22888822).

The spelling of 20744120 in words is "twenty million, seven hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1780 3560 5827 11654 23308 29135 46616 58270 116540 233080 518603 1037206 2074412 2593015 4148824 5186030 10372060 20744120