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10315026 = 234411553
BaseRepresentation
bin100111010110…
…010100010010
3201102001120000
4213112110102
510120040101
61005030430
7153450651
oct47262422
921361500
1010315026
115905917
123555416
1321a2087
141527198
15d8b486
hex9d6512

10315026 has 40 divisors (see below), whose sum is σ = 23692284. Its totient is φ = 3352320.

The previous prime is 10315003. The next prime is 10315027. The reversal of 10315026 is 62051301.

It can be written as a sum of positive squares in 2 ways, for example, as 7834401 + 2480625 = 2799^2 + 1575^2 .

It is a super-2 number, since 2×103150262 = 212799522761352, which contains 22 as substring.

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 (10315027) 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 19 ways as a sum of consecutive naturals, for example, 5866 + ... + 7418.

Almost surely, 210315026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10315026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11846142).

10315026 is an abundant number, since it is smaller than the sum of its proper divisors (13377258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10315026 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 10315026 = (21361500)9.

10315026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10315026 is about 3211.7014182517. The cubic root of 10315026 is about 217.6824628208.

Adding to 10315026 its reverse (62051301), we get a palindrome (72366327).

It can be divided in two parts, 103 and 15026, that added together give a square (15129 = 1232).

The spelling of 10315026 in words is "ten million, three hundred fifteen thousand, twenty-six".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1107 1553 2214 3106 3321 4659 6642 9318 13977 27954 41931 63673 83862 125793 127346 191019 251586 382038 573057 1146114 1719171 3438342 5157513 10315026