Base | Representation |
---|---|
bin | 1000101100011… |
… | …0110111110100 |
3 | 2112121200011200 |
4 | 2023012313310 |
5 | 33313404124 |
6 | 3341332500 |
7 | 621646230 |
oct | 213066764 |
9 | 75550150 |
10 | 36466164 |
11 | 19647629 |
12 | 10267130 |
13 | 772a217 |
14 | 4bb35c0 |
15 | 3304bc9 |
hex | 22c6df4 |
36466164 has 72 divisors (see below), whose sum is σ = 108221568. Its totient is φ = 10134720.
The previous prime is 36466159. The next prime is 36466169. The reversal of 36466164 is 46166463.
36466164 is a `hidden beast` number, since 3 + 646 + 6 + 1 + 6 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (36466159) and next prime (36466169).
It is a super-2 number, since 2×364661642 = 2659562233749792, which contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
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.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (36466169) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7369 + ... + 11279.
Almost surely, 236466164 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 36466164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54110784).
36466164 is an abundant number, since it is smaller than the sum of its proper divisors (71755404).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36466164 is a wasteful number, since it uses less digits than its factorization.
36466164 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3965 (or 3960 counting only the distinct ones).
The product of its digits is 62208, while the sum is 36.
The square root of 36466164 is about 6038.7220502355. The cubic root of 36466164 is about 331.6118388981.
The spelling of 36466164 in words is "thirty-six million, four hundred sixty-six thousand, one hundred sixty-four".
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