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126103424 = 271815443
BaseRepresentation
bin1111000010000…
…10111110000000
322210021201101012
413201002332000
5224240302144
620302500052
73060601316
oct741027600
9283251335
10126103424
1165200407
1236294628
1320183015
1412a680b6
15b10de9e
hex7842f80

126103424 has 32 divisors (see below), whose sum is σ = 252656040. Its totient is φ = 62691840.

The previous prime is 126103423. The next prime is 126103427. The reversal of 126103424 is 424301621.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 126103424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126103421) 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 3 ways as a sum of consecutive naturals, for example, 20447 + ... + 25889.

Almost surely, 2126103424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126328020).

126103424 is an abundant number, since it is smaller than the sum of its proper divisors (126552616).

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

126103424 is an equidigital number, since it uses as much as digits as its factorization.

126103424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5638 (or 5626 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 126103424 is about 11229.5780864643. The cubic root of 126103424 is about 501.4669240588.

The spelling of 126103424 in words is "one hundred twenty-six million, one hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 181 362 724 1448 2896 5443 5792 10886 11584 21772 23168 43544 87088 174176 348352 696704 985183 1970366 3940732 7881464 15762928 31525856 63051712 126103424