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126804672 = 2632220147
BaseRepresentation
bin1111000111011…
…10001011000000
322211121100022100
413203232023000
5224430222142
620325510400
73066551631
oct743561300
9284540270
10126804672
116563a255
1236572400
132036a267
1412bab888
15b1ebb4c
hex78ee2c0

126804672 has 42 divisors (see below), whose sum is σ = 363464348. Its totient is φ = 42268032.

The previous prime is 126804653. The next prime is 126804679. The reversal of 126804672 is 276408621.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (126804679) 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 5 ways as a sum of consecutive naturals, for example, 109498 + ... + 110649.

Almost surely, 2126804672 is an apocalyptic number.

126804672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126804672 is an abundant number, since it is smaller than the sum of its proper divisors (236659676).

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

126804672 is a wasteful number, since it uses less digits than its factorization.

126804672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220165 (or 220152 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 126804672 is about 11260.7580561879. The cubic root of 126804672 is about 502.3947414490.

The spelling of 126804672 in words is "one hundred twenty-six million, eight hundred four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 220147 440294 660441 880588 1320882 1761176 1981323 2641764 3522352 3962646 5283528 7044704 7925292 10567056 14089408 15850584 21134112 31701168 42268224 63402336 126804672