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20001000 = 2335359113
BaseRepresentation
bin100110001001…
…1000011101000
31101122011012210
41030103003220
520110013000
61552405120
7332001645
oct114230350
941564183
1020001000
1110321058
1268467a0
1341b3a16
142928dcc
151b51350
hex13130e8

20001000 has 128 divisors (see below), whose sum is σ = 64022400. Its totient is φ = 5196800.

The previous prime is 20000971. The next prime is 20001001. The reversal of 20001000 is 10002.

It is a Harshad number since it is a multiple of its sum of digits (3).

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 (20001001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176944 + ... + 177056.

It is an arithmetic number, because the mean of its divisors is an integer number (500175).

Almost surely, 220001000 is an apocalyptic number.

20001000 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 20001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32011200).

20001000 is an abundant number, since it is smaller than the sum of its proper divisors (44021400).

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

20001000 is a wasteful number, since it uses less digits than its factorization.

20001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 3.

The square root of 20001000 is about 4472.2477570009. The cubic root of 20001000 is about 271.4462856135.

Adding to 20001000 its reverse (10002), we get a palindrome (20011002).

The spelling of 20001000 in words is "twenty million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 59 60 75 100 113 118 120 125 150 177 200 226 236 250 295 300 339 354 375 452 472 500 565 590 600 678 708 750 885 904 1000 1130 1180 1356 1416 1475 1500 1695 1770 2260 2360 2712 2825 2950 3000 3390 3540 4425 4520 5650 5900 6667 6780 7080 7375 8475 8850 11300 11800 13334 13560 14125 14750 16950 17700 20001 22125 22600 26668 28250 29500 33335 33900 35400 40002 42375 44250 53336 56500 59000 66670 67800 80004 84750 88500 100005 113000 133340 160008 166675 169500 177000 200010 266680 333350 339000 400020 500025 666700 800040 833375 1000050 1333400 1666750 2000100 2500125 3333500 4000200 5000250 6667000 10000500 20001000