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20673504 = 2532233121
BaseRepresentation
bin100111011011…
…1001111100000
31102220022201100
41032313033200
520243023004
62015034400
7340502415
oct116671740
942808640
1020673504
1110740345
126b0ba00
13438ab57
142a6210c
151c35739
hex13b73e0

20673504 has 72 divisors (see below), whose sum is σ = 61366032. Its totient is φ = 6589440.

The previous prime is 20673487. The next prime is 20673509. The reversal of 20673504 is 40537602.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20673509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5064 + ... + 8184.

It is an arithmetic number, because the mean of its divisors is an integer number (852306).

Almost surely, 220673504 is an apocalyptic number.

20673504 is a gapful number since it is divisible by the number (24) 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 20673504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30683016).

20673504 is an abundant number, since it is smaller than the sum of its proper divisors (40692528).

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

20673504 is a wasteful number, since it uses less digits than its factorization.

20673504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3160 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 20673504 is about 4546.8125098799. The cubic root of 20673504 is about 274.4551371435.

The spelling of 20673504 in words is "twenty million, six hundred seventy-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3121 3312 6242 6624 9363 12484 18726 24968 28089 37452 49936 56178 71783 74904 99872 112356 143566 149808 215349 224712 287132 299616 430698 449424 574264 646047 861396 898848 1148528 1292094 1722792 2297056 2584188 3445584 5168376 6891168 10336752 20673504