| Base | Representation |
|---|---|
| bin | 1111000101011… |
| … | …10100111000000 |
| 3 | 22211010010011200 |
| 4 | 13202232213000 |
| 5 | 224343404240 |
| 6 | 20320141200 |
| 7 | 3064415610 |
| oct | 742564700 |
| 9 | 284103150 |
| 10 | 126544320 |
| 11 | 65481691 |
| 12 | 36467800 |
| 13 | 202a88c6 |
| 14 | 12b40a40 |
| 15 | b199930 |
| hex | 78ae9c0 |
126544320 has 168 divisors, whose sum is σ = 497518944. Its totient is φ = 28919808.
The previous prime is 126544309. The next prime is 126544331. The reversal of 126544320 is 23445621.
126544320 is a `hidden beast` number, since 1 + 2 + 654 + 4 + 3 + 2 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (126544309) and next prime (126544331).
It is a tau number, because it is divible by the number of its divisors (168).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17022 + ... + 23298.
Almost surely, 2126544320 is an apocalyptic number.
126544320 is a gapful number since it is divisible by the number (10) 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 126544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248759472).
126544320 is an abundant number, since it is smaller than the sum of its proper divisors (370974624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
126544320 is a wasteful number, since it uses less digits than its factorization.
126544320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6307 (or 6294 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 27.
The square root of 126544320 is about 11249.1919709817. The cubic root of 126544320 is about 502.0506713294.
Adding to 126544320 its reverse (23445621), we get a palindrome (149989941).
It can be divided in two parts, 126 and 544320, that added together give a triangular number (544446 = T1043).
The spelling of 126544320 in words is "one hundred twenty-six million, five hundred forty-four thousand, three hundred twenty".
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