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126660096 = 293227487
BaseRepresentation
bin1111000110010…
…10111000000000
322211022222222200
413203022320000
5224411110341
620322433200
73065410263
oct743127000
9284288880
10126660096
1165550672
1236502800
1320319504
1412b70cda
15b1bddb6
hex78cae00

126660096 has 60 divisors (see below), whose sum is σ = 365562912. Its totient is φ = 42218496.

The previous prime is 126660067. The next prime is 126660097. The reversal of 126660096 is 690066621.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 126660096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126660097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9136 + ... + 18351.

Almost surely, 2126660096 is an apocalyptic number.

126660096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

126660096 is an abundant number, since it is smaller than the sum of its proper divisors (238902816).

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

126660096 is an equidigital number, since it uses as much as digits as its factorization.

126660096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27511 (or 27492 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 126660096 is about 11254.3367641101. The cubic root of 126660096 is about 502.2037341750.

The spelling of 126660096 in words is "one hundred twenty-six million, six hundred sixty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 27487 54974 82461 109948 164922 219896 247383 329844 439792 494766 659688 879584 989532 1319376 1759168 1979064 2638752 3518336 3958128 5277504 7036672 7916256 10555008 14073344 15832512 21110016 31665024 42220032 63330048 126660096