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126795456 = 263531263
BaseRepresentation
bin1111000111010…
…11111011000000
322211120212200000
413203223323000
5224424423311
620325400000
73066513024
oct743537300
9284525600
10126795456
1165633337
1236569000
1320365cc8
1412ba8384
15b1e9056
hex78ebec0

126795456 has 168 divisors, whose sum is σ = 390534144. Its totient is φ = 40746240.

The previous prime is 126795443. The next prime is 126795467. The reversal of 126795456 is 654597621.

126795456 is a `hidden beast` number, since 126 + 79 + 5 + 456 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 481981 + ... + 482243.

It is an arithmetic number, because the mean of its divisors is an integer number (2324608).

Almost surely, 2126795456 is an apocalyptic number.

126795456 is a gapful number since it is divisible by the number (16) 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 126795456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195267072).

126795456 is an abundant number, since it is smaller than the sum of its proper divisors (263738688).

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

126795456 is an equidigital number, since it uses as much as digits as its factorization.

126795456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 299 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 126795456 is about 11260.3488400671. The cubic root of 126795456 is about 502.3825700202.

The spelling of 126795456 in words is "one hundred twenty-six million, seven hundred ninety-five thousand, four hundred fifty-six".