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126696096 = 2533146639
BaseRepresentation
bin1111000110100…
…11101010100000
322211101211101000
413203103222200
5224413233341
620323312000
73065620242
oct743235240
9284354330
10126696096
116557571a
123651b600
132032ca07
1412b80092
15b1c98b6
hex78d3aa0

126696096 has 48 divisors (see below), whose sum is σ = 369532800. Its totient is φ = 42231744.

The previous prime is 126696083. The next prime is 126696127. The reversal of 126696096 is 690696621.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 72456 + ... + 74183.

It is an arithmetic number, because the mean of its divisors is an integer number (7698600).

Almost surely, 2126696096 is an apocalyptic number.

126696096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

126696096 is an abundant number, since it is smaller than the sum of its proper divisors (242836704).

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

126696096 is a wasteful number, since it uses less digits than its factorization.

126696096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146658 (or 146644 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 126696096 is about 11255.9360339334. The cubic root of 126696096 is about 502.2513093319.

The spelling of 126696096 in words is "one hundred twenty-six million, six hundred ninety-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 146639 293278 439917 586556 879834 1173112 1319751 1759668 2346224 2639502 3519336 3959253 4692448 5279004 7038672 7918506 10558008 14077344 15837012 21116016 31674024 42232032 63348048 126696096