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20812500 = 22325637
BaseRepresentation
bin100111101100…
…1001011010100
31110011101101100
41033121023110
520312000000
62022030100
7341621562
oct117311324
943141340
1020812500
1110825815
126b78330
1344091b7
142a9aa32
151c61a00
hex13d92d4

20812500 has 126 divisors (see below), whose sum is σ = 67538198. Its totient is φ = 5400000.

The previous prime is 20812483. The next prime is 20812511. The reversal of 20812500 is 521802.

It can be written as a sum of positive squares in 7 ways, for example, as 20034576 + 777924 = 4476^2 + 882^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 562482 + ... + 562518.

Almost surely, 220812500 is an apocalyptic number.

20812500 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 20812500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33769099).

20812500 is an abundant number, since it is smaller than the sum of its proper divisors (46725698).

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

20812500 is an equidigital number, since it uses as much as digits as its factorization.

20812500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 20812500 is about 4562.0718977237. The cubic root of 20812500 is about 275.0688532828.

It can be divided in two parts, 20812 and 500, that added together give a palindrome (21312).

The spelling of 20812500 in words is "twenty million, eight hundred twelve thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 125 148 150 180 185 222 225 250 300 333 370 375 444 450 500 555 625 666 740 750 900 925 1110 1125 1250 1332 1500 1665 1850 1875 2220 2250 2500 2775 3125 3330 3700 3750 4500 4625 5550 5625 6250 6660 7500 8325 9250 9375 11100 11250 12500 13875 15625 16650 18500 18750 22500 23125 27750 28125 31250 33300 37500 41625 46250 46875 55500 56250 62500 69375 83250 92500 93750 112500 115625 138750 140625 166500 187500 208125 231250 277500 281250 346875 416250 462500 562500 578125 693750 832500 1040625 1156250 1387500 1734375 2081250 2312500 3468750 4162500 5203125 6937500 10406250 20812500