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126241104 = 24311373641
BaseRepresentation
bin1111000011001…
…00100101010000
322210112201020110
413201210211100
5224304203404
620305441320
73062013603
oct741444520
9283481213
10126241104
11652948a0
1236340240
13202008a2
1412aa233a
15b139b89
hex7864950

126241104 has 80 divisors (see below), whose sum is σ = 357280704. Its totient is φ = 38092800.

The previous prime is 126241097. The next prime is 126241109. The reversal of 126241104 is 401142621.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126241109) 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 15 ways as a sum of consecutive naturals, for example, 196624 + ... + 197264.

Almost surely, 2126241104 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 126241104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178640352).

126241104 is an abundant number, since it is smaller than the sum of its proper divisors (231039600).

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

126241104 is a wasteful number, since it uses less digits than its factorization.

126241104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 126241104 is about 11235.7066533441. The cubic root of 126241104 is about 501.6493585833.

Adding to 126241104 its reverse (401142621), we get a palindrome (527383725).

The spelling of 126241104 in words is "one hundred twenty-six million, two hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 373 528 641 746 1119 1282 1492 1923 2238 2564 2984 3846 4103 4476 5128 5968 7051 7692 8206 8952 10256 12309 14102 15384 16412 17904 21153 24618 28204 30768 32824 42306 49236 56408 65648 84612 98472 112816 169224 196944 239093 338448 478186 717279 956372 1434558 1912744 2630023 2869116 3825488 5260046 5738232 7890069 10520092 11476464 15780138 21040184 31560276 42080368 63120552 126241104