Base | Representation |
---|---|
bin | 100110101110… |
… | …100001010010 |
3 | 201002202221200 |
4 | 212232201102 |
5 | 10044331033 |
6 | 1001332030 |
7 | 152201502 |
oct | 46564122 |
9 | 21082850 |
10 | 10152018 |
11 | 58043a8 |
12 | 3497016 |
13 | 2145b16 |
14 | 14c3a02 |
15 | d58013 |
hex | 9ae852 |
10152018 has 18 divisors (see below), whose sum is σ = 22025367. Its totient is φ = 3379500.
The previous prime is 10152017. The next prime is 10152019. The reversal of 10152018 is 81025101.
It is an interprime number because it is at equal distance from previous prime (10152017) and next prime (10152019).
It can be written as a sum of positive squares in only one way, i.e., 5076009 + 5076009 = 2253^2 + 2253^2 .
It is a tau number, because it is divible by the number of its divisors (18).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=2253.
It is a hoax number, since the sum of its digits (18) 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 (18).
It is not an unprimeable number, because it can be changed into a prime (10152011) 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 8 ways as a sum of consecutive naturals, for example, 13143 + ... + 13893.
Almost surely, 210152018 is an apocalyptic number.
10152018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
10152018 is an abundant number, since it is smaller than the sum of its proper divisors (11873349).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10152018 is an frugal number, since it uses more digits than its factorization.
10152018 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1510 (or 756 counting only the distinct ones).
The product of its (nonzero) digits is 80, while the sum is 18.
The square root of 10152018 is about 3186.2231560266. The cubic root of 10152018 is about 216.5296927808.
Multiplying 10152018 by its sum of digits (18), we get a square (182736324 = 135182).
10152018 divided by its sum of digits (18) gives a square (564001 = 7512).
Adding to 10152018 its reverse (81025101), we get a palindrome (91177119).
The spelling of 10152018 in words is "ten million, one hundred fifty-two thousand, eighteen".
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