Base | Representation |
---|---|
bin | 1000100110110… |
… | …1011110110100 |
3 | 2111221001220210 |
4 | 2021231132310 |
5 | 33220200040 |
6 | 3325425420 |
7 | 615562605 |
oct | 211553664 |
9 | 74831823 |
10 | 36100020 |
11 | 19417530 |
12 | 1010b270 |
13 | 762c678 |
14 | 4b19dac |
15 | 3281480 |
hex | 226d7b4 |
36100020 has 96 divisors (see below), whose sum is σ = 111767040. Its totient is φ = 8632960.
The previous prime is 36100003. The next prime is 36100073. The reversal of 36100020 is 2000163.
It is a super-2 number, since 2×361000202 = 2606422888000800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 36099969 and 36100005.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54451 + ... + 55109.
It is an arithmetic number, because the mean of its divisors is an integer number (1164240).
Almost surely, 236100020 is an apocalyptic number.
36100020 is a gapful number since it is divisible by the number (30) 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 36100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55883520).
36100020 is an abundant number, since it is smaller than the sum of its proper divisors (75667020).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36100020 is a wasteful number, since it uses less digits than its factorization.
36100020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 765 (or 763 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 36100020 is about 6008.3292186764. The cubic root of 36100020 is about 330.4982372768.
Adding to 36100020 its reverse (2000163), we get a palindrome (38100183).
The spelling of 36100020 in words is "thirty-six million, one hundred thousand, twenty".
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