Base | Representation |
---|---|
bin | 100111100001… |
… | …101000100000 |
3 | 201111102010200 |
4 | 213201220200 |
5 | 10123031001 |
6 | 1010025200 |
7 | 154033044 |
oct | 47415040 |
9 | 21442120 |
10 | 10361376 |
11 | 5937723 |
12 | 3578200 |
13 | 21ba1bc |
14 | 153a024 |
15 | d9a086 |
hex | 9e1a20 |
10361376 has 36 divisors (see below), whose sum is σ = 29465982. Its totient is φ = 3453696.
The previous prime is 10361371. The next prime is 10361383. The reversal of 10361376 is 67316301.
It can be written as a sum of positive squares in only one way, i.e., 6051600 + 4309776 = 2460^2 + 2076^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-3 number, since 3×103613763 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is not an unprimeable number, because it can be changed into a prime (10361371) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17701 + ... + 18276.
Almost surely, 210361376 is an apocalyptic number.
10361376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
10361376 is an abundant number, since it is smaller than the sum of its proper divisors (19104606).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10361376 is a wasteful number, since it uses less digits than its factorization.
10361376 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 35993 (or 35982 counting only the distinct ones).
The product of its (nonzero) digits is 2268, while the sum is 27.
The square root of 10361376 is about 3218.9091319887. The cubic root of 10361376 is about 218.0080237206.
Adding to 10361376 its reverse (67316301), we get a palindrome (77677677).
The spelling of 10361376 in words is "ten million, three hundred sixty-one thousand, three hundred seventy-six".
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