Base | Representation |
---|---|
bin | 1000100110000… |
… | …0010010110000 |
3 | 2111211022211001 |
4 | 2021200102300 |
5 | 33211433000 |
6 | 3324331344 |
7 | 615246244 |
oct | 211402260 |
9 | 74738731 |
10 | 36046000 |
11 | 1938a991 |
12 | 100a3b54 |
13 | 7610bc3 |
14 | 4b04424 |
15 | 327046a |
hex | 22604b0 |
36046000 has 80 divisors (see below), whose sum is σ = 88788960. Its totient is φ = 14150400.
The previous prime is 36045953. The next prime is 36046009. The reversal of 36046000 is 64063.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (80).
It is not an unprimeable number, because it can be changed into a prime (36046009) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133866 + ... + 134134.
It is an arithmetic number, because the mean of its divisors is an integer number (1109862).
Almost surely, 236046000 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 36046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44394480).
36046000 is an abundant number, since it is smaller than the sum of its proper divisors (52742960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36046000 is a wasteful number, since it uses less digits than its factorization.
36046000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 359 (or 343 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 19.
The square root of 36046000 is about 6003.8321095780. The cubic root of 36046000 is about 330.3333026728. Note that the first 4 decimals are identical.
It can be divided in two parts, 3604 and 6000, that added together give a square (9604 = 982).
The spelling of 36046000 in words is "thirty-six million, forty-six thousand", and thus it is an eban number.
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