| Base | Representation |
|---|---|
| bin | 1111110100001… |
| … | …00011110000000 |
| 3 | 100020121222122200 |
| 4 | 13322010132000 |
| 5 | 232430210133 |
| 6 | 21055233200 |
| 7 | 3200422041 |
| oct | 772043600 |
| 9 | 306558580 |
| 10 | 132663168 |
| 11 | 68980890 |
| 12 | 38518800 |
| 13 | 2163ba21 |
| 14 | 138948c8 |
| 15 | b9a7913 |
| hex | 7e84780 |
132663168 has 288 divisors, whose sum is σ = 454685400. Its totient is φ = 36771840.
The previous prime is 132663163. The next prime is 132663173. The reversal of 132663168 is 861366231.
132663168 = 573 + 583 + ... + 1523.
132663168 is a `hidden beast` number, since 13 + 2 + 6 + 631 + 6 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (132663163) and next prime (132663173).
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×1326631682 = 35199032287592448, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
Its product of digits (31104) is a multiple of the sum of its prime divisors (64).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132663161) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4574578 + ... + 4574606.
Almost surely, 2132663168 is an apocalyptic number.
132663168 is a gapful number since it is divisible by the number (18) 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 132663168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227342700).
132663168 is an abundant number, since it is smaller than the sum of its proper divisors (322022232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132663168 is a wasteful number, since it uses less digits than its factorization.
132663168 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 98 (or 64 counting only the distinct ones).
The product of its digits is 31104, while the sum is 36.
The square root of 132663168 is about 11517.9498175674. The cubic root of 132663168 is about 510.0155935255.
The spelling of 132663168 in words is "one hundred thirty-two million, six hundred sixty-three thousand, one hundred sixty-eight".
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