| Base | Representation |
|---|---|
| bin | 10100000110100… |
| … | …10000101000000 |
| 3 | 102202022102111100 |
| 4 | 22003102011000 |
| 5 | 321132221030 |
| 6 | 24422214400 |
| 7 | 4115232231 |
| oct | 1203220500 |
| 9 | 382272440 |
| 10 | 168632640 |
| 11 | 87209220 |
| 12 | 48584400 |
| 13 | 28c23b37 |
| 14 | 18579088 |
| 15 | ec10360 |
| hex | a0d2140 |
168632640 has 168 divisors, whose sum is σ = 632874528. Its totient is φ = 40872960.
The previous prime is 168632617. The next prime is 168632641. The reversal of 168632640 is 46236861.
168632640 is a `hidden beast` number, since 1 + 6 + 8 + 6 + 3 + 2 + 640 = 666.
168632640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
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 = 168632595 and 168632604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (168632641) 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, 29019 + ... + 34341.
Almost surely, 2168632640 is an apocalyptic number.
168632640 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 168632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316437264).
168632640 is an abundant number, since it is smaller than the sum of its proper divisors (464241888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
168632640 is a wasteful number, since it uses less digits than its factorization.
168632640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5357 (or 5344 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 168632640 is about 12985.8630825987. The cubic root of 168632640 is about 552.4765890314.
It can be divided in two parts, 1686326 and 40, that added together give a triangular number (1686366 = T1836).
The spelling of 168632640 in words is "one hundred sixty-eight million, six hundred thirty-two thousand, six hundred forty".
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