Search a number
-
+
21906304 = 277231063
BaseRepresentation
bin101001110010…
…0001110000000
31112012221210121
41103210032000
521102000204
62101310024
7354125530
oct123441600
945187717
1021906304
1111402592
127405314
134700014
142ca34c0
151dcab54
hex14e4380

21906304 has 64 divisors (see below), whose sum is σ = 52093440. Its totient is φ = 8971776.

The previous prime is 21906301. The next prime is 21906317. The reversal of 21906304 is 40360912.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21906301) 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, 20077 + ... + 21139.

It is an arithmetic number, because the mean of its divisors is an integer number (813960).

Almost surely, 221906304 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 21906304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26046720).

21906304 is an abundant number, since it is smaller than the sum of its proper divisors (30187136).

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

21906304 is a wasteful number, since it uses less digits than its factorization.

21906304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 21906304 is about 4680.4170754325. The cubic root of 21906304 is about 279.8055793191.

The spelling of 21906304 in words is "twenty-one million, nine hundred six thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 322 368 448 644 736 896 1063 1288 1472 2126 2576 2944 4252 5152 7441 8504 10304 14882 17008 20608 24449 29764 34016 48898 59528 68032 97796 119056 136064 171143 195592 238112 342286 391184 476224 684572 782368 952448 1369144 1564736 2738288 3129472 5476576 10953152 21906304