| Base | Representation |
|---|---|
| bin | 1001100000111… |
| … | …0110011101100 |
| 3 | 2210002110111000 |
| 4 | 2120032303230 |
| 5 | 40204002130 |
| 6 | 3543200300 |
| 7 | 663125412 |
| oct | 230166354 |
| 9 | 83073430 |
| 10 | 39906540 |
| 11 | 20587413 |
| 12 | 11446090 |
| 13 | 836314b |
| 14 | 542b2b2 |
| 15 | 3784260 |
| hex | 260ecec |
39906540 has 96 divisors (see below), whose sum is σ = 126120960. Its totient is φ = 10473408.
The previous prime is 39906533. The next prime is 39906569. The reversal of 39906540 is 4560993.
39906540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 39906495 and 39906504.
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 31 ways as a sum of consecutive naturals, for example, 35629 + ... + 36731.
It is an arithmetic number, because the mean of its divisors is an integer number (1313760).
Almost surely, 239906540 is an apocalyptic number.
39906540 is a gapful number since it is divisible by the number (30) 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 39906540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63060480).
39906540 is an abundant number, since it is smaller than the sum of its proper divisors (86214420).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
39906540 is a wasteful number, since it uses less digits than its factorization.
39906540 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1188 (or 1180 counting only the distinct ones).
The product of its (nonzero) digits is 29160, while the sum is 36.
The square root of 39906540 is about 6317.1623376323. The cubic root of 39906540 is about 341.7286243644.
The spelling of 39906540 in words is "thirty-nine million, nine hundred six thousand, five hundred forty".
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