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126680500 = 2253253361
BaseRepresentation
bin1111000110011…
…11110110110100
322211101000222101
413203033312310
5224412234000
620323111444
73065523622
oct743176664
9284330871
10126680500
1165564a31
1236512584
132032589b
1412b78512
15b1c4e6a
hex78cfdb4

126680500 has 24 divisors (see below), whose sum is σ = 276671304. Its totient is φ = 50672000.

The previous prime is 126680473. The next prime is 126680507. The reversal of 126680500 is 5086621.

It can be written as a sum of positive squares in 4 ways, for example, as 15968016 + 110712484 = 3996^2 + 10522^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126680507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126181 + ... + 127180.

It is an arithmetic number, because the mean of its divisors is an integer number (11527971).

Almost surely, 2126680500 is an apocalyptic number.

126680500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126680500 is an abundant number, since it is smaller than the sum of its proper divisors (149990804).

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

126680500 is a wasteful number, since it uses less digits than its factorization.

126680500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253380 (or 253368 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 126680500 is about 11255.2432226052. The cubic root of 126680500 is about 502.2306998232.

The spelling of 126680500 in words is "one hundred twenty-six million, six hundred eighty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 253361 506722 1013444 1266805 2533610 5067220 6334025 12668050 25336100 31670125 63340250 126680500