| Base | Representation |
|---|---|
| bin | 10011100110000… |
| … | …00100100110000 |
| 3 | 102110021200122100 |
| 4 | 21303000210300 |
| 5 | 314034213030 |
| 6 | 24150540400 |
| 7 | 4034044014 |
| oct | 1163004460 |
| 9 | 373250570 |
| 10 | 164366640 |
| 11 | 848650a9 |
| 12 | 47067700 |
| 13 | 2808c189 |
| 14 | 17b88544 |
| 15 | e66b360 |
| hex | 9cc0930 |
164366640 has 120 divisors (see below), whose sum is σ = 564941520. Its totient is φ = 42803712.
The previous prime is 164366639. The next prime is 164366641. The reversal of 164366640 is 46663461.
It is an interprime number because it is at equal distance from previous prime (164366639) and next prime (164366641).
It is a tau number, because it is divible by the number of its divisors (120).
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 = 164366595 and 164366604.
It is not an unprimeable number, because it can be changed into a prime (164366641) 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, 28306 + ... + 33614.
It is an arithmetic number, because the mean of its divisors is an integer number (4707846).
Almost surely, 2164366640 is an apocalyptic number.
164366640 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 164366640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282470760).
164366640 is an abundant number, since it is smaller than the sum of its proper divisors (400574880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
164366640 is a wasteful number, since it uses less digits than its factorization.
164366640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5371 (or 5362 counting only the distinct ones).
The product of its (nonzero) digits is 62208, while the sum is 36.
The square root of 164366640 is about 12820.5553701858. Note that the first 3 decimals coincide. The cubic root of 164366640 is about 547.7779660647. Note that the first 3 decimals are identical.
The spelling of 164366640 in words is "one hundred sixty-four million, three hundred sixty-six thousand, six hundred forty".
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