Search a number
-
+
20644200 = 2333523823
BaseRepresentation
bin100111011000…
…0000101101000
31102211211112000
41032300011220
520241103300
62014251000
7340321113
oct116600550
942754460
1020644200
1110720325
126ab6a60
13437a705
142a5557a
151c2bc00
hex13b0168

20644200 has 96 divisors (see below), whose sum is σ = 71126400. Its totient is φ = 5503680.

The previous prime is 20644199. The next prime is 20644213. The reversal of 20644200 is 244602.

20644200 is a `hidden beast` number, since 2 + 0 + 644 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3489 + ... + 7311.

It is an arithmetic number, because the mean of its divisors is an integer number (740900).

Almost surely, 220644200 is an apocalyptic number.

20644200 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 20644200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35563200).

20644200 is an abundant number, since it is smaller than the sum of its proper divisors (50482200).

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

20644200 is a wasteful number, since it uses less digits than its factorization.

20644200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20644200 is about 4543.5888898535. The cubic root of 20644200 is about 274.3253988339.

Adding to 20644200 its reverse (244602), we get a palindrome (20888802).

The spelling of 20644200 in words is "twenty million, six hundred forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 3823 5400 7646 11469 15292 19115 22938 30584 34407 38230 45876 57345 68814 76460 91752 95575 103221 114690 137628 152920 172035 191150 206442 229380 275256 286725 344070 382300 412884 458760 516105 573450 688140 764600 825768 860175 1032210 1146900 1376280 1720350 2064420 2293800 2580525 3440700 4128840 5161050 6881400 10322100 20644200