Search a number
-
+
20664320 = 21251009
BaseRepresentation
bin100111011010…
…1000000000000
31102212212010012
41032311000000
520242224240
62014524052
7340433555
oct116650000
942785105
1020664320
1110734456
126b06628
134386911
142a5ca2c
151c32b65
hex13b5000

20664320 has 52 divisors (see below), whose sum is σ = 49637460. Its totient is φ = 8257536.

The previous prime is 20664313. The next prime is 20664353. The reversal of 20664320 is 2346602.

It can be written as a sum of positive squares in 2 ways, for example, as 6885376 + 13778944 = 2624^2 + 3712^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19976 + ... + 20984.

Almost surely, 220664320 is an apocalyptic number.

20664320 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 20664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24818730).

20664320 is an abundant number, since it is smaller than the sum of its proper divisors (28973140).

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

20664320 is an equidigital number, since it uses as much as digits as its factorization.

20664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 20664320 is about 4545.8024594124. The cubic root of 20664320 is about 274.4144897958.

The spelling of 20664320 in words is "twenty million, six hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1009 1024 1280 2018 2048 2560 4036 4096 5045 5120 8072 10090 10240 16144 20180 20480 32288 40360 64576 80720 129152 161440 258304 322880 516608 645760 1033216 1291520 2066432 2583040 4132864 5166080 10332160 20664320