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21094020 = 2234529449
BaseRepresentation
bin101000001110…
…1111010000100
31110200200120000
41100131322010
520400002040
62032041300
7344203413
oct120357204
943620500
1021094020
11109a8282
127093230
1344a738c
142b3147a
151cba130
hex141de84

21094020 has 120 divisors (see below), whose sum is σ = 68607000. Its totient is φ = 5419008.

The previous prime is 21094019. The next prime is 21094057. The reversal of 21094020 is 2049012.

It can be written as a sum of positive squares in 4 ways, for example, as 3048516 + 18045504 = 1746^2 + 4248^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21093984 and 21094002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46756 + ... + 47204.

It is an arithmetic number, because the mean of its divisors is an integer number (571725).

Almost surely, 221094020 is an apocalyptic number.

21094020 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 21094020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34303500).

21094020 is an abundant number, since it is smaller than the sum of its proper divisors (47512980).

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

21094020 is a wasteful number, since it uses less digits than its factorization.

21094020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 21094020 is about 4592.8226615013. The cubic root of 21094020 is about 276.3035412831.

The spelling of 21094020 in words is "twenty-one million, ninety-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 261 270 290 324 348 405 435 449 522 540 580 783 810 870 898 1044 1305 1347 1566 1620 1740 1796 2245 2349 2610 2694 3132 3915 4041 4490 4698 5220 5388 6735 7830 8082 8980 9396 11745 12123 13021 13470 15660 16164 20205 23490 24246 26042 26940 36369 39063 40410 46980 48492 52084 60615 65105 72738 78126 80820 117189 121230 130210 145476 156252 181845 195315 234378 242460 260420 351567 363690 390630 468756 585945 703134 727380 781260 1054701 1171890 1406268 1757835 2109402 2343780 3515670 4218804 5273505 7031340 10547010 21094020