| Base | Representation |
|---|---|
| bin | 10000100100011… |
| … | …10111011000000 |
| 3 | 100200112210122100 |
| 4 | 20102032323000 |
| 5 | 241040404230 |
| 6 | 21443110400 |
| 7 | 3305313231 |
| oct | 1022167300 |
| 9 | 320483570 |
| 10 | 138997440 |
| 11 | 7150791a |
| 12 | 3a672400 |
| 13 | 22a48c0a |
| 14 | 14663088 |
| 15 | c309660 |
| hex | 848eec0 |
138997440 has 252 divisors, whose sum is σ = 510911856. Its totient is φ = 34676736.
The previous prime is 138997433. The next prime is 138997447. The reversal of 138997440 is 44799831.
It is an interprime number because it is at equal distance from previous prime (138997433) and next prime (138997447).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (138997447) 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 35 ways as a sum of consecutive naturals, for example, 832237 + ... + 832403.
It is an arithmetic number, because the mean of its divisors is an integer number (2027428).
Almost surely, 2138997440 is an apocalyptic number.
138997440 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 138997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255455928).
138997440 is an abundant number, since it is smaller than the sum of its proper divisors (371914416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
138997440 is a wasteful number, since it uses less digits than its factorization.
138997440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 224 (or 194 counting only the distinct ones).
The product of its (nonzero) digits is 217728, while the sum is 45.
The square root of 138997440 is about 11789.7175538687. The cubic root of 138997440 is about 518.0069666083.
It can be divided in two parts, 138 and 997440, that added together give a triangular number (997578 = T1412).
The spelling of 138997440 in words is "one hundred thirty-eight million, nine hundred ninety-seven thousand, four hundred forty".
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