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20031000 = 2335311607
BaseRepresentation
bin100110001101…
…0011000011000
31101200200100220
41030122120120
520111443000
61553200040
7332155263
oct114323030
941620326
1020031000
1110341650
126860020
1341c4582
142935cda
151b5a1a0
hex131a618

20031000 has 128 divisors (see below), whose sum is σ = 68290560. Its totient is φ = 4848000.

The previous prime is 20030987. The next prime is 20031029. The reversal of 20031000 is 13002.

It is a super-2 number, since 2×200310002 = 802481922000000, which contains 22 as substring.

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 self number, because there is not a number n which added to its sum of digits gives 20031000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32697 + ... + 33303.

It is an arithmetic number, because the mean of its divisors is an integer number (533520).

Almost surely, 220031000 is an apocalyptic number.

20031000 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 20031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34145280).

20031000 is an abundant number, since it is smaller than the sum of its proper divisors (48259560).

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

20031000 is a wasteful number, since it uses less digits than its factorization.

20031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 628 counting only the distinct ones).

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

The square root of 20031000 is about 4475.6005183662. The cubic root of 20031000 is about 271.5819341721.

Adding to 20031000 its reverse (13002), we get a palindrome (20044002).

It can be divided in two parts, 2003 and 1000, that added together give a palindrome (3003).

The spelling of 20031000 in words is "twenty million, thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 607 660 750 825 1000 1100 1214 1320 1375 1500 1650 1821 2200 2428 2750 3000 3035 3300 3642 4125 4856 5500 6070 6600 6677 7284 8250 9105 11000 12140 13354 14568 15175 16500 18210 20031 24280 26708 30350 33000 33385 36420 40062 45525 53416 60700 66770 72840 75875 80124 91050 100155 121400 133540 151750 160248 166925 182100 200310 227625 267080 303500 333850 364200 400620 455250 500775 607000 667700 801240 834625 910500 1001550 1335400 1669250 1821000 2003100 2503875 3338500 4006200 5007750 6677000 10015500 20031000