| Base | Representation |
|---|---|
| bin | 10111111011111… |
| … | …110111010100000 |
| 3 | 1000222200101212000 |
| 4 | 113323332322200 |
| 5 | 1310302201120 |
| 6 | 103503404000 |
| 7 | 12644354643 |
| oct | 2773767240 |
| 9 | 1028611760 |
| 10 | 401600160 |
| 11 | 196769165 |
| 12 | b25b3600 |
| 13 | 65281a40 |
| 14 | 3b49da5a |
| 15 | 253cc990 |
| hex | 17efeea0 |
401600160 has 192 divisors, whose sum is σ = 1513935360. Its totient is φ = 98841600.
The previous prime is 401600153. The next prime is 401600161. The reversal of 401600160 is 61006104.
401600160 is a `hidden beast` number, since 4 + 0 + 1 + 600 + 1 + 60 = 666.
It is a super-2 number, since 2×4016001602 = 322565377024051200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (401600161) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52585 + ... + 59735.
It is an arithmetic number, because the mean of its divisors is an integer number (7885080).
Almost surely, 2401600160 is an apocalyptic number.
401600160 is a gapful number since it is divisible by the number (40) 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 401600160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756967680).
401600160 is an abundant number, since it is smaller than the sum of its proper divisors (1112335200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
401600160 is a wasteful number, since it uses less digits than its factorization.
401600160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7188 (or 7174 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 401600160 is about 20039.9640718241. The cubic root of 401600160 is about 737.7874991327.
Adding to 401600160 its reverse (61006104), we get a palindrome (462606264).
The spelling of 401600160 in words is "four hundred one million, six hundred thousand, one hundred sixty".
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