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126028144 = 24113123099
BaseRepresentation
bin1111000001100…
…00100101110000
322210010220010001
413200300211300
5224230400034
620301115344
73060135664
oct740604560
9283126101
10126028144
11651598a0
1236258b54
1320157988
1412a488a4
15b0e6a14
hex7830970

126028144 has 40 divisors (see below), whose sum is σ = 274982400. Its totient is φ = 55435200.

The previous prime is 126028129. The next prime is 126028151. The reversal of 126028144 is 441820621.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6094 + ... + 17005.

It is an arithmetic number, because the mean of its divisors is an integer number (6874560).

Almost surely, 2126028144 is an apocalyptic number.

It is an amenable number.

126028144 is an abundant number, since it is smaller than the sum of its proper divisors (148954256).

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

126028144 is a wasteful number, since it uses less digits than its factorization.

126028144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23149 (or 23143 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 126028144 is about 11226.2257237239. The cubic root of 126028144 is about 501.3671172407.

Adding to 126028144 its reverse (441820621), we get a palindrome (567848765).

The spelling of 126028144 in words is "one hundred twenty-six million, twenty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 2728 5456 23099 46198 92396 184792 254089 369584 508178 716069 1016356 1432138 2032712 2864276 4065424 5728552 7876759 11457104 15753518 31507036 63014072 126028144