Base | Representation |
---|---|
bin | 100111010011… |
… | …001000110000 |
3 | 201101101200120 |
4 | 213103020300 |
5 | 10114131000 |
6 | 1004450240 |
7 | 153364662 |
oct | 47231060 |
9 | 21341616 |
10 | 10302000 |
11 | 58a7055 |
12 | 3549980 |
13 | 2199177 |
14 | 1522532 |
15 | d876a0 |
hex | 9d3230 |
10302000 has 160 divisors (see below), whose sum is σ = 35515584. Its totient is φ = 2560000.
The previous prime is 10301969. The next prime is 10302007. The reversal of 10302000 is 20301.
It is a super-2 number, since 2×103020002 = 212262408000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a self number, because there is not a number n which added to its sum of digits gives 10302000.
It is not an unprimeable number, because it can be changed into a prime (10302007) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101950 + ... + 102050.
Almost surely, 210302000 is an apocalyptic number.
10302000 is a gapful number since it is divisible by the number (10) 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 10302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17757792).
10302000 is an abundant number, since it is smaller than the sum of its proper divisors (25213584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10302000 is a wasteful number, since it uses less digits than its factorization.
10302000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 144 (or 128 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 6.
The square root of 10302000 is about 3209.6728805285. The cubic root of 10302000 is about 217.5907931154.
Adding to 10302000 its reverse (20301), we get a palindrome (10322301).
The spelling of 10302000 in words is "ten million, three hundred two thousand".
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