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126496097 = 7213349569
BaseRepresentation
bin1111000101000…
…10110101100001
322211000200000122
413202202311201
5224340333342
620315130025
73064125200
oct742426541
9284020018
10126496097
1165449432
1236443915
132028c980
1412b2b237
15b18a4d2
hex78a2d61

126496097 has 24 divisors (see below), whose sum is σ = 159201000. Its totient is φ = 99622656.

The previous prime is 126496093. The next prime is 126496103. The reversal of 126496097 is 790694621.

It can be written as a sum of positive squares in 4 ways, for example, as 2307361 + 124188736 = 1519^2 + 11144^2 .

It is not a de Polignac number, because 126496097 - 22 = 126496093 is a prime.

It is not an unprimeable number, because it can be changed into a prime (126496093) 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 23 ways as a sum of consecutive naturals, for example, 222029 + ... + 222597.

It is an arithmetic number, because the mean of its divisors is an integer number (6633375).

Almost surely, 2126496097 is an apocalyptic number.

It is an amenable number.

126496097 is a deficient number, since it is larger than the sum of its proper divisors (32704903).

126496097 is a wasteful number, since it uses less digits than its factorization.

126496097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The square root of 126496097 is about 11247.0483683498. The cubic root of 126496097 is about 501.9868900774.

The spelling of 126496097 in words is "one hundred twenty-six million, four hundred ninety-six thousand, ninety-seven".

Divisors: 1 7 13 49 91 349 569 637 2443 3983 4537 7397 17101 27881 31759 51779 198581 222313 362453 1390067 2581553 9730469 18070871 126496097