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20040000 = 26354167
BaseRepresentation
bin100110001110…
…0100101000000
31101201010201020
41030130211000
520112240000
61553305440
7332223441
oct114344500
941633636
1020040000
1110348392
126865280
1341c86b6
1429392c8
151b5cba0
hex131c940

20040000 has 140 divisors (see below), whose sum is σ = 66653664. Its totient is φ = 5312000.

The previous prime is 20039993. The next prime is 20040049. The reversal of 20040000 is 4002.

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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119917 + ... + 120083.

Almost surely, 220040000 is an apocalyptic number.

20040000 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 20040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33326832).

20040000 is an abundant number, since it is smaller than the sum of its proper divisors (46613664).

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

20040000 is an equidigital number, since it uses as much as digits as its factorization.

20040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 20040000 is about 4476.6058571199. The cubic root of 20040000 is about 271.6226023270.

Adding to 20040000 its reverse (4002), we get a palindrome (20044002).

It can be divided in two parts, 200 and 40000, that multiplied together give a cube (8000000 = 2003).

The spelling of 20040000 in words is "twenty million, forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 167 192 200 240 250 300 320 334 375 400 480 500 501 600 625 668 750 800 835 960 1000 1002 1200 1250 1336 1500 1600 1670 1875 2000 2004 2400 2500 2505 2672 3000 3340 3750 4000 4008 4175 4800 5000 5010 5344 6000 6680 7500 8000 8016 8350 10000 10020 10688 12000 12525 13360 15000 16032 16700 20000 20040 20875 24000 25050 26720 30000 32064 33400 40000 40080 41750 50100 53440 60000 62625 66800 80160 83500 100200 104375 120000 125250 133600 160320 167000 200400 208750 250500 267200 313125 334000 400800 417500 501000 626250 668000 801600 835000 1002000 1252500 1336000 1670000 2004000 2505000 3340000 4008000 5010000 6680000 10020000 20040000