| Base | Representation |
|---|---|
| bin | 1111000010110… |
| … | …00110110001000 |
| 3 | 22210110021022000 |
| 4 | 13201120312020 |
| 5 | 224301134112 |
| 6 | 20304431000 |
| 7 | 3061423500 |
| oct | 741306610 |
| 9 | 283407260 |
| 10 | 126193032 |
| 11 | 65261769 |
| 12 | 36318460 |
| 13 | 201b4a44 |
| 14 | 12a8ca00 |
| 15 | b12a7dc |
| hex | 7858d88 |
126193032 has 96 divisors (see below), whose sum is σ = 407800800. Its totient is φ = 36052128.
The previous prime is 126193027. The next prime is 126193037. The reversal of 126193032 is 230391621.
126193032 is a `hidden beast` number, since 12 + 619 + 3 + 0 + 32 = 666.
It is an interprime number because it is at equal distance from previous prime (126193027) and next prime (126193037).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 126192987 and 126193005.
It is not an unprimeable number, because it can be changed into a prime (126193037) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4623 + ... + 16545.
It is an arithmetic number, because the mean of its divisors is an integer number (4247925).
Almost surely, 2126193032 is an apocalyptic number.
126193032 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 126193032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203900400).
126193032 is an abundant number, since it is smaller than the sum of its proper divisors (281607768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
126193032 is a wasteful number, since it uses less digits than its factorization.
126193032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11952 (or 11935 counting only the distinct ones).
The product of its (nonzero) digits is 1944, while the sum is 27.
The square root of 126193032 is about 11233.5671983569. The cubic root of 126193032 is about 501.5856752852.
It can be divided in two parts, 12619 and 3032, that added together give a palindrome (15651).
The spelling of 126193032 in words is "one hundred twenty-six million, one hundred ninety-three thousand, thirty-two".
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