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21217280 = 2145737
BaseRepresentation
bin101000011110…
…0000000000000
31110220221122012
41100330000000
520412423110
62034432052
7345225650
oct120740000
943827565
1021217280
1110a81947
127132628
13451b506
142b64360
151ce1905
hex143c000

21217280 has 120 divisors (see below), whose sum is σ = 59767008. Its totient is φ = 7077888.

The previous prime is 21217277. The next prime is 21217289. The reversal of 21217280 is 8271212.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21217289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 573422 + ... + 573458.

Almost surely, 221217280 is an apocalyptic number.

21217280 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 21217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29883504).

21217280 is an abundant number, since it is smaller than the sum of its proper divisors (38549728).

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

21217280 is an frugal number, since it uses more digits than its factorization.

21217280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 21217280 is about 4606.2218791543. The cubic root of 21217280 is about 276.8406769717.

Adding to 21217280 its reverse (8271212), we get a palindrome (29488492).

The spelling of 21217280 in words is "twenty-one million, two hundred seventeen thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 64 70 74 80 112 128 140 148 160 185 224 256 259 280 296 320 370 448 512 518 560 592 640 740 896 1024 1036 1120 1184 1280 1295 1480 1792 2048 2072 2240 2368 2560 2590 2960 3584 4096 4144 4480 4736 5120 5180 5920 7168 8192 8288 8960 9472 10240 10360 11840 14336 16384 16576 17920 18944 20480 20720 23680 28672 33152 35840 37888 40960 41440 47360 57344 66304 71680 75776 81920 82880 94720 114688 132608 143360 151552 165760 189440 265216 286720 303104 331520 378880 530432 573440 606208 663040 757760 1060864 1326080 1515520 2121728 2652160 3031040 4243456 5304320 10608640 21217280