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20671872 = 2731341101
BaseRepresentation
bin100111011011…
…0110110000000
31102220020110220
41032312312000
520242444442
62015023040
7340464564
oct116666600
942806426
1020671872
111073a0a1
126b0aa80
13438a1a0
142a616a4
151c34eec
hex13b6d80

20671872 has 128 divisors (see below), whose sum is σ = 61175520. Its totient is φ = 6144000.

The previous prime is 20671817. The next prime is 20671873. The reversal of 20671872 is 27817602.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20671873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204622 + ... + 204722.

Almost surely, 220671872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20671872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30587760).

20671872 is an abundant number, since it is smaller than the sum of its proper divisors (40503648).

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

20671872 is a wasteful number, since it uses less digits than its factorization.

20671872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 20671872 is about 4546.6330399539. The cubic root of 20671872 is about 274.4479149753.

The spelling of 20671872 in words is "twenty million, six hundred seventy-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 64 78 82 96 101 104 123 128 156 164 192 202 208 246 303 312 328 384 404 416 492 533 606 624 656 808 832 984 1066 1212 1248 1312 1313 1599 1616 1664 1968 2132 2424 2496 2624 2626 3198 3232 3936 3939 4141 4264 4848 4992 5248 5252 6396 6464 7872 7878 8282 8528 9696 10504 12423 12792 12928 15744 15756 16564 17056 19392 21008 24846 25584 31512 33128 34112 38784 42016 49692 51168 53833 63024 66256 68224 84032 99384 102336 107666 126048 132512 161499 168064 198768 204672 215332 252096 265024 322998 397536 430664 504192 530048 645996 795072 861328 1291992 1590144 1722656 2583984 3445312 5167968 6890624 10335936 20671872