Search a number
-
+
21008208 = 24313131257
BaseRepresentation
bin101000000100…
…0111101010000
31110112022211210
41100020331100
520334230313
62030140120
7343365264
oct120107520
943468753
1021008208
1110949861
127051640
1344772c0
142b0c0a4
151c9e9c3
hex1408f50

21008208 has 80 divisors (see below), whose sum is σ = 59121216. Its totient is φ = 6389760.

The previous prime is 21008203. The next prime is 21008219. The reversal of 21008208 is 80280012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21008203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81616 + ... + 81872.

Almost surely, 221008208 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 21008208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29560608).

21008208 is an abundant number, since it is smaller than the sum of its proper divisors (38113008).

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

21008208 is a wasteful number, since it uses less digits than its factorization.

21008208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 21008208 is about 4583.4711736849. The cubic root of 21008208 is about 275.9283577967.

The spelling of 21008208 in words is "twenty-one million, eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 131 156 208 257 262 312 393 514 524 624 771 786 1028 1048 1542 1572 1703 2056 2096 3084 3144 3341 3406 4112 5109 6168 6288 6682 6812 10023 10218 12336 13364 13624 20046 20436 26728 27248 33667 40092 40872 53456 67334 80184 81744 101001 134668 160368 202002 269336 404004 437671 538672 808008 875342 1313013 1616016 1750684 2626026 3501368 5252052 7002736 10504104 21008208