| Base | Representation |
|---|---|
| bin | 10011100100000… |
| … | …01011010101000 |
| 3 | 102102210112210000 |
| 4 | 21302001122220 |
| 5 | 314002423234 |
| 6 | 24141223000 |
| 7 | 4031615550 |
| oct | 1162013250 |
| 9 | 372715700 |
| 10 | 164107944 |
| 11 | 846a8800 |
| 12 | 46b61a60 |
| 13 | 27ccb4c0 |
| 14 | 17b1c160 |
| 15 | e619899 |
| hex | 9c816a8 |
164107944 has 480 divisors, whose sum is σ = 648869760. Its totient is φ = 37635840.
The previous prime is 164107927. The next prime is 164107949. The reversal of 164107944 is 449701461.
164107944 is a `hidden beast` number, since 1 + 641 + 0 + 7 + 9 + 4 + 4 = 666.
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 = 164107899 and 164107908.
It is not an unprimeable number, because it can be changed into a prime (164107949) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7135117 + ... + 7135139.
It is an arithmetic number, because the mean of its divisors is an integer number (1351812).
Almost surely, 2164107944 is an apocalyptic number.
164107944 is a gapful number since it is divisible by the number (14) 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 164107944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324434880).
164107944 is an abundant number, since it is smaller than the sum of its proper divisors (484761816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
164107944 is a wasteful number, since it uses less digits than its factorization.
164107944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 83 (or 59 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 36.
The square root of 164107944 is about 12810.4622867405. The cubic root of 164107944 is about 547.4904333100.
164107944 divided by its sum of digits (36) gives a palindrome (4558554).
The spelling of 164107944 in words is "one hundred sixty-four million, one hundred seven thousand, nine hundred forty-four".
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