Base | Representation |
---|---|
bin | 10011010001001… |
… | …11001000110000 |
3 | 102021011012210000 |
4 | 21220213020300 |
5 | 312340003013 |
6 | 24012310000 |
7 | 4001632404 |
oct | 1150471060 |
9 | 367135700 |
10 | 161641008 |
11 | 83273311 |
12 | 46172300 |
13 | 27646689 |
14 | 17679104 |
15 | e2cd973 |
hex | 9a27230 |
161641008 has 100 divisors (see below), whose sum is σ = 471005568. Its totient is φ = 53516160.
The previous prime is 161641003. The next prime is 161641009. The reversal of 161641008 is 800146161.
161641008 is a `hidden beast` number, since 1 + 616 + 41 + 0 + 0 + 8 = 666.
It is a super-2 number, since 2×1616410082 = 52255630934512128, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (161641001) 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 19 ways as a sum of consecutive naturals, for example, 247210 + ... + 247862.
Almost surely, 2161641008 is an apocalyptic number.
161641008 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 161641008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235502784).
161641008 is an abundant number, since it is smaller than the sum of its proper divisors (309364560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
161641008 is a wasteful number, since it uses less digits than its factorization.
161641008 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 864 (or 849 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 27.
The square root of 161641008 is about 12713.8117022394. The cubic root of 161641008 is about 544.7332061177.
Adding to 161641008 its reverse (800146161), we get a palindrome (961787169).
It can be divided in two parts, 1616 and 41008, that added together give a palindrome (42624).
The spelling of 161641008 in words is "one hundred sixty-one million, six hundred forty-one thousand, eight".
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