Search a number
-
+
20658000 = 2435311313
BaseRepresentation
bin100111011001…
…1011101010000
31102212112110010
41032303131100
520242024000
62014434520
7340406256
oct116633520
942775403
1020658000
111072a730
126b02a40
134383a8c
142a5a5d6
151c30d50
hex13b3750

20658000 has 160 divisors (see below), whose sum is σ = 72888192. Its totient is φ = 4992000.

The previous prime is 20657999. The next prime is 20658037. The reversal of 20658000 is 85602.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 65844 + ... + 66156.

Almost surely, 220658000 is an apocalyptic number.

20658000 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 20658000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36444096).

20658000 is an abundant number, since it is smaller than the sum of its proper divisors (52230192).

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

20658000 is a wasteful number, since it uses less digits than its factorization.

20658000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 20658000 is about 4545.1072594604. The cubic root of 20658000 is about 274.3865111928.

The spelling of 20658000 in words is "twenty million, six hundred fifty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 313 330 375 400 440 500 528 550 600 626 660 750 825 880 939 1000 1100 1200 1252 1320 1375 1500 1565 1650 1878 2000 2200 2504 2640 2750 3000 3130 3300 3443 3756 4125 4400 4695 5008 5500 6000 6260 6600 6886 7512 7825 8250 9390 10329 11000 12520 13200 13772 15024 15650 16500 17215 18780 20658 22000 23475 25040 27544 31300 33000 34430 37560 39125 41316 46950 51645 55088 62600 66000 68860 75120 78250 82632 86075 93900 103290 117375 125200 137720 156500 165264 172150 187800 206580 234750 258225 275440 313000 344300 375600 413160 430375 469500 516450 626000 688600 826320 860750 939000 1032900 1291125 1377200 1721500 1878000 2065800 2582250 3443000 4131600 5164500 6886000 10329000 20658000