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21389616 = 243367739
BaseRepresentation
bin101000110011…
…0000100110000
31111020201001000
41101212010300
520433431431
62042242000
7346544253
oct121460460
944221030
1021389616
111108a376
1271b6300
13457baa1
142bab09a
151d279e6
hex1466130

21389616 has 80 divisors (see below), whose sum is σ = 62396800. Its totient is φ = 7013952.

The previous prime is 21389593. The next prime is 21389629. The reversal of 21389616 is 61698312.

21389616 is a `hidden beast` number, since 2 + 1 + 38 + 9 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28575 + ... + 29313.

It is an arithmetic number, because the mean of its divisors is an integer number (779960).

Almost surely, 221389616 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 21389616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31198400).

21389616 is an abundant number, since it is smaller than the sum of its proper divisors (41007184).

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

21389616 is a wasteful number, since it uses less digits than its factorization.

21389616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 811 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 21389616 is about 4624.8909176325. The cubic root of 21389616 is about 277.5881969474.

The spelling of 21389616 in words is "twenty-one million, three hundred eighty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 108 134 144 201 216 268 402 432 536 603 739 804 1072 1206 1478 1608 1809 2217 2412 2956 3216 3618 4434 4824 5912 6651 7236 8868 9648 11824 13302 14472 17736 19953 26604 28944 35472 39906 49513 53208 79812 99026 106416 148539 159624 198052 297078 319248 396104 445617 594156 792208 891234 1188312 1336851 1782468 2376624 2673702 3564936 5347404 7129872 10694808 21389616