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20500000 = 255641
BaseRepresentation
bin100111000110…
…0111000100000
31102120111201021
41032030320200
520222000000
62011215224
7336150523
oct116147040
942514637
1020500000
1110631a54
126a47514
134329ba1
142a18bba
151bee11a
hex138ce20

20500000 has 84 divisors (see below), whose sum is σ = 51679026. Its totient is φ = 8000000.

The previous prime is 20499971. The next prime is 20500019. The reversal of 20500000 is 502.

It can be written as a sum of positive squares in 7 ways, for example, as 16289296 + 4210704 = 4036^2 + 2052^2 .

It is a sliding number, since 20500000 = 500000 + 20000000 and 1/500000 + 1/20000000 = 0.0000020500000.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 499980 + ... + 500020.

Almost surely, 220500000 is an apocalyptic number.

20500000 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 20500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25839513).

20500000 is an abundant number, since it is smaller than the sum of its proper divisors (31179026).

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

20500000 is an frugal number, since it uses more digits than its factorization.

20500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 7.

The square root of 20500000 is about 4527.6925690687. The cubic root of 20500000 is about 273.6851837399.

Adding to 20500000 its reverse (502), we get a palindrome (20500502).

It can be divided in two parts, 20 and 500000, that multiplied together give a 7-th power (10000000 = 107).

The spelling of 20500000 in words is "twenty million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 125 160 164 200 205 250 328 400 410 500 625 656 800 820 1000 1025 1250 1312 1640 2000 2050 2500 3125 3280 4000 4100 5000 5125 6250 6560 8200 10000 10250 12500 15625 16400 20000 20500 25000 25625 31250 32800 41000 50000 51250 62500 82000 100000 102500 125000 128125 164000 205000 250000 256250 410000 500000 512500 640625 820000 1025000 1281250 2050000 2562500 4100000 5125000 10250000 20500000