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20748168 = 2332725881
BaseRepresentation
bin100111100100…
…1011110001000
31110001010010200
41033021132020
520302420133
62020412200
7341233200
oct117113610
943033120
1020748168
1110791451
126b47060
1343b5b2c
142a81400
151c4c913
hex13c9788

20748168 has 72 divisors (see below), whose sum is σ = 65378430. Its totient is φ = 5927040.

The previous prime is 20748163. The next prime is 20748179. The reversal of 20748168 is 86184702.

It can be written as a sum of positive squares in only one way, i.e., 14607684 + 6140484 = 3822^2 + 2478^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20748163) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 588 + ... + 6468.

Almost surely, 220748168 is an apocalyptic number.

20748168 is a gapful number since it is divisible by the number (28) 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 20748168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32689215).

20748168 is an abundant number, since it is smaller than the sum of its proper divisors (44630262).

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

20748168 is a wasteful number, since it uses less digits than its factorization.

20748168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5907 (or 5893 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 20748168 is about 4555.0156970092. The cubic root of 20748168 is about 274.7851456791.

The spelling of 20748168 in words is "twenty million, seven hundred forty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 5881 11762 17643 23524 35286 41167 47048 52929 70572 82334 105858 123501 141144 164668 211716 247002 288169 329336 370503 423432 494004 576338 741006 864507 988008 1152676 1482012 1729014 2305352 2593521 2964024 3458028 5187042 6916056 10374084 20748168