| Base | Representation |
|---|---|
| bin | 10011110110110… |
| … | …01000011110000 |
| 3 | 102121102022222000 |
| 4 | 21323121003300 |
| 5 | 320120022310 |
| 6 | 24310014000 |
| 7 | 4061525364 |
| oct | 1173310360 |
| 9 | 377368860 |
| 10 | 166564080 |
| 11 | 86026071 |
| 12 | 47947300 |
| 13 | 2867b437 |
| 14 | 1819b2a4 |
| 15 | e9524c0 |
| hex | 9ed90f0 |
166564080 has 160 divisors (see below), whose sum is σ = 583891200. Its totient is φ = 43630848.
The previous prime is 166564043. The next prime is 166564087. The reversal of 166564080 is 80465661.
166564080 is a `hidden beast` number, since 1 + 6 + 6 + 5 + 640 + 8 + 0 = 666.
166564080 is digitally balanced in base 2, 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 congruent number.
It is not an unprimeable number, because it can be changed into a prime (166564087) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126787 + ... + 128093.
It is an arithmetic number, because the mean of its divisors is an integer number (3649320).
Almost surely, 2166564080 is an apocalyptic number.
166564080 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 166564080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291945600).
166564080 is an abundant number, since it is smaller than the sum of its proper divisors (417327120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
166564080 is a wasteful number, since it uses less digits than its factorization.
166564080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1388 (or 1376 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 36.
The square root of 166564080 is about 12905.9707112638. The cubic root of 166564080 is about 550.2082737381.
It can be divided in two parts, 16656 and 4080, that added together give a 4-th power (20736 = 124).
The spelling of 166564080 in words is "one hundred sixty-six million, five hundred sixty-four thousand, eighty".
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