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20641320 = 2332578191
BaseRepresentation
bin100111010111…
…1011000101000
31102211200120100
41032233120220
520241010240
62014225400
7340306530
oct116573050
942750510
1020641320
1110719147
126ab5260
1343792cb
142a544c0
151c2ae30
hex13af628

20641320 has 96 divisors (see below), whose sum is σ = 76677120. Its totient is φ = 4717440.

The previous prime is 20641307. The next prime is 20641339. The reversal of 20641320 is 2314602.

It is a happy number.

20641320 is a `hidden beast` number, since 2 + 0 + 641 + 3 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20641293 and 20641302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1576 + ... + 6615.

It is an arithmetic number, because the mean of its divisors is an integer number (798720).

Almost surely, 220641320 is an apocalyptic number.

20641320 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 20641320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38338560).

20641320 is an abundant number, since it is smaller than the sum of its proper divisors (56035800).

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

20641320 is a wasteful number, since it uses less digits than its factorization.

20641320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8215 (or 8208 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20641320 is about 4543.2719487171. The cubic root of 20641320 is about 274.3126415156.

Adding to 20641320 its reverse (2314602), we get a palindrome (22955922).

The spelling of 20641320 in words is "twenty million, six hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 8191 16382 24573 32764 40955 49146 57337 65528 73719 81910 98292 114674 122865 147438 163820 172011 196584 229348 245730 286685 294876 327640 344022 368595 458696 491460 516033 573370 589752 688044 737190 860055 982920 1032066 1146740 1376088 1474380 1720110 2064132 2293480 2580165 2948760 3440220 4128264 5160330 6880440 10320660 20641320