| Base | Representation |
|---|---|
| bin | 1001111001110… |
| … | …10110111110000 |
| 3 | 12210022211110200 |
| 4 | 10330322313300 |
| 5 | 132232004030 |
| 6 | 12124355200 |
| 7 | 2026104531 |
| oct | 474726760 |
| 9 | 183284420 |
| 10 | 83078640 |
| 11 | 42994237 |
| 12 | 239a5b00 |
| 13 | 1429a778 |
| 14 | b068688 |
| 15 | 7460d60 |
| hex | 4f3adf0 |
83078640 has 120 divisors (see below), whose sum is σ = 293738640. Its totient is φ = 20984832.
The previous prime is 83078627. The next prime is 83078647. The reversal of 83078640 is 4687038.
83078640 is a `hidden beast` number, since 8 + 3 + 0 + 7 + 8 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (120).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct 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 = 83078595 and 83078604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (83078647) 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, 10644 + ... + 16716.
It is an arithmetic number, because the mean of its divisors is an integer number (2447822).
Almost surely, 283078640 is an apocalyptic number.
83078640 is a gapful number since it is divisible by the number (80) 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 83078640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146869320).
83078640 is an abundant number, since it is smaller than the sum of its proper divisors (210660000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
83078640 is a wasteful number, since it uses less digits than its factorization.
83078640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6111 (or 6102 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The square root of 83078640 is about 9114.7484880275. The cubic root of 83078640 is about 436.3447880116.
The spelling of 83078640 in words is "eighty-three million, seventy-eight thousand, six hundred forty".
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