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12020500 = 225329829
BaseRepresentation
bin101101110110…
…101100010100
3211121201000201
4231312230110
511034124000
61105350244
7204113122
oct55665424
924551021
1012020500
1168701a8
124038384
13264b42b
14184c912
1510c696a
hexb76b14

12020500 has 48 divisors (see below), whose sum is σ = 27190800. Its totient is φ = 4636800.

The previous prime is 12020473. The next prime is 12020507. The reversal of 12020500 is 502021.

It can be written as a sum of positive squares in 8 ways, for example, as 3341584 + 8678916 = 1828^2 + 2946^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020507) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14086 + ... + 14914.

It is an arithmetic number, because the mean of its divisors is an integer number (566475).

Almost surely, 212020500 is an apocalyptic number.

12020500 is a gapful number since it is divisible by the number (10) 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 12020500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13595400).

12020500 is an abundant number, since it is smaller than the sum of its proper divisors (15170300).

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

12020500 is a wasteful number, since it uses less digits than its factorization.

12020500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 12020500 is about 3467.0592726401. The cubic root of 12020500 is about 229.0731445756.

Adding to 12020500 its reverse (502021), we get a palindrome (12522521).

The spelling of 12020500 in words is "twelve million, twenty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 125 145 250 290 500 580 725 829 1450 1658 2900 3316 3625 4145 7250 8290 14500 16580 20725 24041 41450 48082 82900 96164 103625 120205 207250 240410 414500 480820 601025 1202050 2404100 3005125 6010250 12020500