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10081344 = 263713577
BaseRepresentation
bin100110011101…
…010001000000
3200222012000010
4212131101000
510040100334
61000024520
7151455450
oct46352100
920865003
1010081344
115766299
123462140
13211c8c0
1414a5d60
15d420e9
hex99d440

10081344 has 112 divisors (see below), whose sum is σ = 32885888. Its totient is φ = 2654208.

The previous prime is 10081333. The next prime is 10081363. The reversal of 10081344 is 44318001.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10081344.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17184 + ... + 17760.

It is an arithmetic number, because the mean of its divisors is an integer number (293624).

Almost surely, 210081344 is an apocalyptic number.

10081344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10081344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16442944).

10081344 is an abundant number, since it is smaller than the sum of its proper divisors (22804544).

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

10081344 is a wasteful number, since it uses less digits than its factorization.

10081344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 10081344 is about 3175.1132263275. The cubic root of 10081344 is about 216.0260599559.

Adding to 10081344 its reverse (44318001), we get a palindrome (54399345).

The spelling of 10081344 in words is "ten million, eighty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 577 624 672 728 832 1092 1154 1248 1344 1456 1731 2184 2308 2496 2912 3462 4039 4368 4616 5824 6924 7501 8078 8736 9232 12117 13848 15002 16156 17472 18464 22503 24234 27696 30004 32312 36928 45006 48468 52507 55392 60008 64624 90012 96936 105014 110784 120016 129248 157521 180024 193872 210028 240032 258496 315042 360048 387744 420056 480064 630084 720096 775488 840112 1260168 1440192 1680224 2520336 3360448 5040672 10081344