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20300000 = 2555729
BaseRepresentation
bin100110101110…
…0000011100000
31102012100100212
41031130003200
520144100000
62003033252
7334355450
oct115340340
942170325
1020300000
1110505766
12696b828
134289b46
1429a5d60
151baec35
hex135c0e0

20300000 has 144 divisors (see below), whose sum is σ = 59058720. Its totient is φ = 6720000.

The previous prime is 20299991. The next prime is 20300003. The reversal of 20300000 is 302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20300003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 699986 + ... + 700014.

It is an arithmetic number, because the mean of its divisors is an integer number (410130).

Almost surely, 220300000 is an apocalyptic number.

20300000 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 20300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29529360).

20300000 is an abundant number, since it is smaller than the sum of its proper divisors (38758720).

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

20300000 is an frugal number, since it uses more digits than its factorization.

20300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 5.

The square root of 20300000 is about 4505.5521304275. The cubic root of 20300000 is about 272.7922404148.

Adding to 20300000 its reverse (302), we get a palindrome (20300302).

The spelling of 20300000 in words is "twenty million, three hundred thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 29 32 35 40 50 56 58 70 80 100 112 116 125 140 145 160 175 200 203 224 232 250 280 290 350 400 406 464 500 560 580 625 700 725 800 812 875 928 1000 1015 1120 1160 1250 1400 1450 1624 1750 2000 2030 2320 2500 2800 2900 3125 3248 3500 3625 4000 4060 4375 4640 5000 5075 5600 5800 6250 6496 7000 7250 8120 8750 10000 10150 11600 12500 14000 14500 16240 17500 18125 20000 20300 21875 23200 25000 25375 28000 29000 32480 35000 36250 40600 43750 50000 50750 58000 70000 72500 81200 87500 90625 100000 101500 116000 126875 140000 145000 162400 175000 181250 203000 253750 290000 350000 362500 406000 507500 580000 634375 700000 725000 812000 1015000 1268750 1450000 2030000 2537500 2900000 4060000 5075000 10150000 20300000