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10313058 = 2374153113
BaseRepresentation
bin100111010101…
…110101100010
3201101221212010
4213111311202
510120004213
61005013350
7153442140
oct47256542
921357763
1010313058
115904398
123554256
1321a1202
141526590
15d8aac3
hex9d5d62

10313058 has 64 divisors (see below), whose sum is σ = 24820992. Its totient is φ = 2795520.

The previous prime is 10313057. The next prime is 10313063. The reversal of 10313058 is 85031301.

It is a happy number.

It is a super-3 number, since 3×103130583 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10313057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91210 + ... + 91322.

It is an arithmetic number, because the mean of its divisors is an integer number (387828).

Almost surely, 210313058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10313058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12410496).

10313058 is an abundant number, since it is smaller than the sum of its proper divisors (14507934).

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

10313058 is a wasteful number, since it uses less digits than its factorization.

10313058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 10313058 is about 3211.3950239732. The cubic root of 10313058 is about 217.6686180881.

Adding to 10313058 its reverse (85031301), we get a palindrome (95344359).

The spelling of 10313058 in words is "ten million, three hundred thirteen thousand, fifty-eight".

Divisors: 1 2 3 6 7 14 21 41 42 53 82 106 113 123 159 226 246 287 318 339 371 574 678 742 791 861 1113 1582 1722 2173 2226 2373 4346 4633 4746 5989 6519 9266 11978 13038 13899 15211 17967 27798 30422 32431 35934 41923 45633 64862 83846 91266 97293 125769 194586 245549 251538 491098 736647 1473294 1718843 3437686 5156529 10313058