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10303104 = 27373833
BaseRepresentation
bin100111010011…
…011010000000
3201101110012110
4213103122000
510114144404
61004455320
7153401130
oct47233200
921343173
1010303104
1158a7969
12354a540
132199816
141522ac0
15d87b89
hex9d3680

10303104 has 64 divisors (see below), whose sum is σ = 31285440. Its totient is φ = 2942976.

The previous prime is 10303099. The next prime is 10303121. The reversal of 10303104 is 40130301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 10303104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 772 + ... + 4604.

It is an arithmetic number, because the mean of its divisors is an integer number (488835).

Almost surely, 210303104 is an apocalyptic number.

10303104 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 10303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15642720).

10303104 is an abundant number, since it is smaller than the sum of its proper divisors (20982336).

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

10303104 is an equidigital number, since it uses as much as digits as its factorization.

10303104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3857 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 10303104 is about 3209.8448560639. The cubic root of 10303104 is about 217.5985654461.

Adding to 10303104 its reverse (40130301), we get a palindrome (50433405).

The spelling of 10303104 in words is "ten million, three hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 3833 7666 11499 15332 22998 26831 30664 45996 53662 61328 80493 91992 107324 122656 160986 183984 214648 245312 321972 367968 429296 490624 643944 735936 858592 1287888 1471872 1717184 2575776 3434368 5151552 10303104