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126023168 = 29475237
BaseRepresentation
bin1111000001011…
…11011000000000
322210010122021202
413200233120000
5224230220133
620301040332
73060115325
oct740573000
9283118252
10126023168
1165156087
12362560a8
132015562b
1412a46b4c
15b0e52e8
hex782f600

126023168 has 40 divisors (see below), whose sum is σ = 257206752. Its totient is φ = 61659136.

The previous prime is 126023119. The next prime is 126023171. The reversal of 126023168 is 861320621.

It is a self number, because there is not a number n which added to its sum of digits gives 126023168.

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 3 ways as a sum of consecutive naturals, for example, 21446 + ... + 26682.

Almost surely, 2126023168 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 126023168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128603376).

126023168 is an abundant number, since it is smaller than the sum of its proper divisors (131183584).

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

126023168 is an frugal number, since it uses more digits than its factorization.

126023168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5302 (or 5286 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 126023168 is about 11226.0040976298. The cubic root of 126023168 is about 501.3605186204.

Adding to 126023168 its reverse (861320621), we get a palindrome (987343789).

The spelling of 126023168 in words is "one hundred twenty-six million, twenty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 512 752 1504 3008 5237 6016 10474 12032 20948 24064 41896 83792 167584 246139 335168 492278 670336 984556 1340672 1969112 2681344 3938224 7876448 15752896 31505792 63011584 126023168