| Base | Representation |
|---|---|
| bin | 10011101000010… |
| … | …01100011000100 |
| 3 | 102110211212122201 |
| 4 | 21310021203010 |
| 5 | 314123244130 |
| 6 | 24201204244 |
| 7 | 4036430314 |
| oct | 1164114304 |
| 9 | 373755581 |
| 10 | 164665540 |
| 11 | 84a49726 |
| 12 | 47190684 |
| 13 | 28165240 |
| 14 | 17c25444 |
| 15 | e6c9bca |
| hex | 9d098c4 |
164665540 has 48 divisors (see below), whose sum is σ = 382484592. Its totient is φ = 59152896.
The previous prime is 164665511. The next prime is 164665597. The reversal of 164665540 is 45566461.
It can be written as a sum of positive squares in 8 ways, for example, as 26790976 + 137874564 = 5176^2 + 11742^2 .
It is a super-2 number, since 2×1646655402 = 54229480126983200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (37).
It is a self number, because there is not a number n which added to its sum of digits gives 164665540.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 1062 + ... + 18178.
It is an arithmetic number, because the mean of its divisors is an integer number (7968429).
Almost surely, 2164665540 is an apocalyptic number.
164665540 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 164665540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191242296).
164665540 is an abundant number, since it is smaller than the sum of its proper divisors (217819052).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
164665540 is a wasteful number, since it uses less digits than its factorization.
164665540 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17176 (or 17174 counting only the distinct ones).
The product of its (nonzero) digits is 86400, while the sum is 37.
The square root of 164665540 is about 12832.2071367322. The cubic root of 164665540 is about 548.1098089218.
The spelling of 164665540 in words is "one hundred sixty-four million, six hundred sixty-five thousand, five hundred forty".
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