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10079316 = 2234132393
BaseRepresentation
bin100110011100…
…110001010100
3200222002020000
4212130301110
510040014231
61000011300
7151446522
oct46346124
920862200
1010079316
115764815
123460b30
13211b9c0
1414a5312
15d416e6
hex99cc54

10079316 has 60 divisors (see below), whose sum is σ = 28388052. Its totient is φ = 3100032.

The previous prime is 10079297. The next prime is 10079323. The reversal of 10079316 is 61397001.

It can be written as a sum of positive squares in 2 ways, for example, as 715716 + 9363600 = 846^2 + 3060^2 .

It is a super-2 number, since 2×100793162 = 203185222055712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10079316.

It is a congruent number.

It is an unprimeable number.

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, 3016 + ... + 5408.

Almost surely, 210079316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10079316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14194026).

10079316 is an abundant number, since it is smaller than the sum of its proper divisors (18308736).

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

10079316 is a wasteful number, since it uses less digits than its factorization.

10079316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 10079316 is about 3174.7938515752. The cubic root of 10079316 is about 216.0115734539.

The spelling of 10079316 in words is "ten million, seventy-nine thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 2393 4212 4786 7179 9572 14358 21537 28716 31109 43074 62218 64611 86148 93327 124436 129222 186654 193833 258444 279981 373308 387666 559962 775332 839943 1119924 1679886 2519829 3359772 5039658 10079316