| Base | Representation |
|---|---|
| bin | 111100100100010… |
| … | …111110100000000 |
| 3 | 2121211002200000000 |
| 4 | 330210113310000 |
| 5 | 4040114331210 |
| 6 | 244500000000 |
| 7 | 34116165663 |
| oct | 7444276400 |
| 9 | 2554080000 |
| 10 | 1016167680 |
| 11 | 481666900 |
| 12 | 244390000 |
| 13 | 1326ab168 |
| 14 | 98d596da |
| 15 | 5e326ac0 |
| hex | 3c917d00 |
1016167680 has 486 divisors, whose sum is σ = 4012943298. Its totient is φ = 246343680.
The previous prime is 1016167643. The next prime is 1016167681. The reversal of 1016167680 is 867616101.
It can be written as a sum of positive squares in only one way, i.e., 812934144 + 203233536 = 28512^2 + 14256^2 .
It is a tau number, because it is divible by the number of its divisors (486).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1016167681) by changing a digit.
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 53 ways as a sum of consecutive naturals, for example, 92378875 + ... + 92378885.
Almost surely, 21016167680 is an apocalyptic number.
1016167680 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 1016167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006471649).
1016167680 is an abundant number, since it is smaller than the sum of its proper divisors (2996775618).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1016167680 is an frugal number, since it uses more digits than its factorization.
1016167680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 67 (or 21 counting only the distinct ones).
The product of its (nonzero) digits is 12096, while the sum is 36.
The square root of 1016167680 is about 31877.3850872370. The cubic root of 1016167680 is about 1005.3604409961.
It can be divided in two parts, 10161 and 67680, that added together give a square (77841 = 2792).
The spelling of 1016167680 in words is "one billion, sixteen million, one hundred sixty-seven thousand, six hundred eighty".
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