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20590000 = 24542971
BaseRepresentation
bin100111010001…
…0110110110000
31102202002011121
41032202312300
520232340000
62013152024
7340004104
oct116426660
942662147
1020590000
1110693632
126a8b614
13435bb42
142a3d904
151c1ab1a
hex13a2db0

20590000 has 100 divisors (see below), whose sum is σ = 52295760. Its totient is φ = 7840000.

The previous prime is 20589979. The next prime is 20590027. The reversal of 20590000 is 9502.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 289965 + ... + 290035.

Almost surely, 220590000 is an apocalyptic number.

20590000 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 20590000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26147880).

20590000 is an abundant number, since it is smaller than the sum of its proper divisors (31705760).

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

20590000 is an equidigital number, since it uses as much as digits as its factorization.

20590000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 20590000 is about 4537.6205218154. The cubic root of 20590000 is about 274.0851139490.

Adding to 20590000 its reverse (9502), we get a palindrome (20599502).

The spelling of 20590000 in words is "twenty million, five hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 71 80 100 116 125 142 145 200 232 250 284 290 355 400 464 500 568 580 625 710 725 1000 1136 1160 1250 1420 1450 1775 2000 2059 2320 2500 2840 2900 3550 3625 4118 5000 5680 5800 7100 7250 8236 8875 10000 10295 11600 14200 14500 16472 17750 18125 20590 28400 29000 32944 35500 36250 41180 44375 51475 58000 71000 72500 82360 88750 102950 142000 145000 164720 177500 205900 257375 290000 355000 411800 514750 710000 823600 1029500 1286875 2059000 2573750 4118000 5147500 10295000 20590000