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20310000 = 24354677
BaseRepresentation
bin100110101111…
…0011111110000
31102012212002020
41031132133300
520144410000
62003151440
7334426554
oct115363760
942185066
1020310000
1110512227
126975580
134291569
1429a9864
151bb2ba0
hex135e7f0

20310000 has 100 divisors (see below), whose sum is σ = 65660232. Its totient is φ = 5408000.

The previous prime is 20309999. The next prime is 20310001. The reversal of 20310000 is 1302.

It is an interprime number because it is at equal distance from previous prime (20309999) and next prime (20310001).

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×203100003 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20310001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29662 + ... + 30338.

Almost surely, 220310000 is an apocalyptic number.

20310000 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 20310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32830116).

20310000 is an abundant number, since it is smaller than the sum of its proper divisors (45350232).

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

20310000 is an equidigital number, since it uses as much as digits as its factorization.

20310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 687 counting only the distinct ones).

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

The square root of 20310000 is about 4506.6617356975. The cubic root of 20310000 is about 272.8370265329.

Adding to 20310000 its reverse (1302), we get a palindrome (20311302).

The spelling of 20310000 in words is "twenty million, three hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 677 750 1000 1200 1250 1354 1500 1875 2000 2031 2500 2708 3000 3385 3750 4062 5000 5416 6000 6770 7500 8124 10000 10155 10832 13540 15000 16248 16925 20310 27080 30000 32496 33850 40620 50775 54160 67700 81240 84625 101550 135400 162480 169250 203100 253875 270800 338500 406200 423125 507750 677000 812400 846250 1015500 1269375 1354000 1692500 2031000 2538750 3385000 4062000 5077500 6770000 10155000 20310000