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126763940 = 2256338197
BaseRepresentation
bin1111000111001…
…00001110100100
322211112021102202
413203210032210
5224422421230
620324554032
73066322112
oct743441644
9284467382
10126763940
1165611696
1236552918
1320354864
1412b9aab2
15b1dea45
hex78e43a4

126763940 has 12 divisors (see below), whose sum is σ = 266204316. Its totient is φ = 50705568.

The previous prime is 126763913. The next prime is 126763943. The reversal of 126763940 is 49367621.

It can be written as a sum of positive squares in 2 ways, for example, as 59228416 + 67535524 = 7696^2 + 8218^2 .

It is a junction number, because it is equal to n+sod(n) for n = 126763894 and 126763903.

It is not an unprimeable number, because it can be changed into a prime (126763943) 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 3 ways as a sum of consecutive naturals, for example, 3169079 + ... + 3169118.

It is an arithmetic number, because the mean of its divisors is an integer number (22183693).

Almost surely, 2126763940 is an apocalyptic number.

126763940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126763940 is an abundant number, since it is smaller than the sum of its proper divisors (139440376).

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

126763940 is a wasteful number, since it uses less digits than its factorization.

126763940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6338206 (or 6338204 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 126763940 is about 11258.9493293113. The cubic root of 126763940 is about 502.3409428684.

The spelling of 126763940 in words is "one hundred twenty-six million, seven hundred sixty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 6338197 12676394 25352788 31690985 63381970 126763940