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10282104 = 2332723887
BaseRepresentation
bin100111001110…
…010001111000
3201100101101200
4213032101320
510113011404
61004214200
7153252660
oct47162170
921311350
1010282104
115893108
12353a360
1321900b1
1415191a0
15d81839
hex9ce478

10282104 has 96 divisors (see below), whose sum is σ = 33246720. Its totient is φ = 2806848.

The previous prime is 10282073. The next prime is 10282109. The reversal of 10282104 is 40128201.

10282104 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10282109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11149 + ... + 12035.

It is an arithmetic number, because the mean of its divisors is an integer number (346320).

Almost surely, 210282104 is an apocalyptic number.

10282104 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 10282104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16623360).

10282104 is an abundant number, since it is smaller than the sum of its proper divisors (22964616).

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

10282104 is a wasteful number, since it uses less digits than its factorization.

10282104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10282104 is about 3206.5720013747. The cubic root of 10282104 is about 217.4506269222.

The spelling of 10282104 in words is "ten million, two hundred eighty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 887 966 1288 1449 1656 1774 1932 2661 2898 3548 3864 5322 5796 6209 7096 7983 10644 11592 12418 15966 18627 20401 21288 24836 31932 37254 40802 49672 55881 61203 63864 74508 81604 111762 122406 142807 149016 163208 183609 223524 244812 285614 367218 428421 447048 489624 571228 734436 856842 1142456 1285263 1468872 1713684 2570526 3427368 5141052 10282104