Search a number
-
+
21363216 = 2437231293
BaseRepresentation
bin101000101111…
…1101000010000
31111012100211020
41101133220100
520432110331
62041515440
7346404300
oct121375020
944170736
1021363216
1111071556
1271a2b80
13456ca74
142ba1600
151d1ec96
hex145fa10

21363216 has 120 divisors (see below), whose sum is σ = 66495744. Its totient is φ = 5886720.

The previous prime is 21363193. The next prime is 21363253. The reversal of 21363216 is 61236312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 72766 + ... + 73058.

Almost surely, 221363216 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 21363216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33247872).

21363216 is an abundant number, since it is smaller than the sum of its proper divisors (45132528).

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

21363216 is a wasteful number, since it uses less digits than its factorization.

21363216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 336 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 21363216 is about 4622.0359150487. The cubic root of 21363216 is about 277.4739460971.

Adding to 21363216 its reverse (61236312), we get a palindrome (82599528).

The spelling of 21363216 in words is "twenty-one million, three hundred sixty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 49 56 62 84 93 98 112 124 147 168 186 196 217 248 293 294 336 372 392 434 496 586 588 651 744 784 868 879 1172 1176 1302 1488 1519 1736 1758 2051 2344 2352 2604 3038 3472 3516 4102 4557 4688 5208 6076 6153 7032 8204 9083 9114 10416 12152 12306 14064 14357 16408 18166 18228 24304 24612 27249 28714 32816 36332 36456 43071 49224 54498 57428 63581 72664 72912 86142 98448 108996 114856 127162 145328 172284 190743 217992 229712 254324 344568 381486 435984 445067 508648 689136 762972 890134 1017296 1335201 1525944 1780268 2670402 3051888 3560536 5340804 7121072 10681608 21363216