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20721400 = 2352719241
BaseRepresentation
bin100111100001…
…0111011111000
31102222202102021
41033002323320
520301041100
62020044224
7341062150
oct117027370
942882367
1020721400
1110773327
126b33674
1343a68ab
142a75760
151c44a1a
hex13c2ef8

20721400 has 144 divisors (see below), whose sum is σ = 59527440. Its totient is φ = 6566400.

The previous prime is 20721397. The next prime is 20721401. The reversal of 20721400 is 412702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20721401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 505380 + ... + 505420.

It is an arithmetic number, because the mean of its divisors is an integer number (413385).

Almost surely, 220721400 is an apocalyptic number.

20721400 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 20721400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29763720).

20721400 is an abundant number, since it is smaller than the sum of its proper divisors (38806040).

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

20721400 is a wasteful number, since it uses less digits than its factorization.

20721400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 20721400 is about 4552.0764492702. The cubic root of 20721400 is about 274.6669245711. Note that the first 3 decimals are identical.

The spelling of 20721400 in words is "twenty million, seven hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 41 50 56 70 76 82 95 100 133 140 152 164 175 190 200 205 266 280 287 328 350 361 380 410 475 532 574 665 700 722 760 779 820 950 1025 1064 1148 1330 1400 1435 1444 1558 1640 1805 1900 2050 2296 2527 2660 2870 2888 3116 3325 3610 3800 3895 4100 5054 5320 5453 5740 6232 6650 7175 7220 7790 8200 9025 10108 10906 11480 12635 13300 14350 14440 14801 15580 18050 19475 20216 21812 25270 26600 27265 28700 29602 31160 36100 38950 43624 50540 54530 57400 59204 63175 72200 74005 77900 101080 103607 109060 118408 126350 136325 148010 155800 207214 218120 252700 272650 296020 370025 414428 505400 518035 545300 592040 740050 828856 1036070 1090600 1480100 2072140 2590175 2960200 4144280 5180350 10360700 20721400