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20195000 = 23547577
BaseRepresentation
bin100110100001…
…0011010111000
31102000000022222
41031002122320
520132220000
62000503212
7333440360
oct115023270
942000288
1020195000
1110443891
12691ab08
134251107
1429799a0
151b8da85
hex13426b8

20195000 has 80 divisors (see below), whose sum is σ = 54170160. Its totient is φ = 6912000.

The previous prime is 20194973. The next prime is 20195009. The reversal of 20195000 is 59102.

It is a self number, because there is not a number n which added to its sum of digits gives 20195000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20195009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34712 + ... + 35288.

It is an arithmetic number, because the mean of its divisors is an integer number (677127).

Almost surely, 220195000 is an apocalyptic number.

20195000 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 20195000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27085080).

20195000 is an abundant number, since it is smaller than the sum of its proper divisors (33975160).

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

20195000 is an equidigital number, since it uses as much as digits as its factorization.

20195000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 20195000 is about 4493.8847337243. The cubic root of 20195000 is about 272.3210957112.

The spelling of 20195000 in words is "twenty million, one hundred ninety-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 577 625 700 875 1000 1154 1250 1400 1750 2308 2500 2885 3500 4039 4375 4616 5000 5770 7000 8078 8750 11540 14425 16156 17500 20195 23080 28850 32312 35000 40390 57700 72125 80780 100975 115400 144250 161560 201950 288500 360625 403900 504875 577000 721250 807800 1009750 1442500 2019500 2524375 2885000 4039000 5048750 10097500 20195000