| Base | Representation |
|---|---|
| bin | 1111000001010… |
| … | …10101101000000 |
| 3 | 22210002200001000 |
| 4 | 13200222231000 |
| 5 | 224224112112 |
| 6 | 20300412000 |
| 7 | 3060005460 |
| oct | 740525500 |
| 9 | 283080030 |
| 10 | 126004032 |
| 11 | 65142770 |
| 12 | 36247000 |
| 13 | 201499cb |
| 14 | 12a3dba0 |
| 15 | b0de7dc |
| hex | 782ab40 |
126004032 has 224 divisors, whose sum is σ = 462320640. Its totient is φ = 32693760.
The previous prime is 126004027. The next prime is 126004033. The reversal of 126004032 is 230400621.
It is a happy number.
126004032 is a `hidden beast` number, since 1 + 260 + 0 + 403 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (224).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 126003996 and 126004014.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (126004033) 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 31 ways as a sum of consecutive naturals, for example, 132583 + ... + 133529.
Almost surely, 2126004032 is an apocalyptic number.
126004032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 126004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231160320).
126004032 is an abundant number, since it is smaller than the sum of its proper divisors (336316608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
126004032 is a wasteful number, since it uses less digits than its factorization.
126004032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 986 (or 970 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 126004032 is about 11225.1517584396. The cubic root of 126004032 is about 501.3351409572.
Adding to 126004032 its reverse (230400621), we get a palindrome (356404653).
The spelling of 126004032 in words is "one hundred twenty-six million, four thousand, thirty-two".
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