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10000096 = 254761109
BaseRepresentation
bin100110001001…
…011011100000
3200211001112221
4212021123200
510030000341
6554200424
7150666541
oct46113340
920731487
1010000096
115710247
123423114
1320c1922
1414844c8
15d27ed1
hex9896e0

10000096 has 48 divisors (see below), whose sum is σ = 20623680. Its totient is φ = 4769280.

The previous prime is 10000079. The next prime is 10000103. The reversal of 10000096 is 69000001.

Adding to 10000096 its reverse (69000001), we get a palindrome (79000097).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 91690 + ... + 91798.

It is an arithmetic number, because the mean of its divisors is an integer number (429660).

Almost surely, 210000096 is an apocalyptic number.

10000096 is a gapful number since it is divisible by the number (16) 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 10000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10311840).

10000096 is an abundant number, since it is smaller than the sum of its proper divisors (10623584).

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

10000096 is a wasteful number, since it uses less digits than its factorization.

10000096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 10000096 is about 3162.2928390647. The cubic root of 10000096 is about 215.4441584201. Note that the first 3 decimals are identical.

The spelling of 10000096 in words is "ten million, ninety-six", and thus it is an aban number and an uban number.

Divisors: 1 2 4 8 16 32 47 61 94 109 122 188 218 244 376 436 488 752 872 976 1504 1744 1952 2867 3488 5123 5734 6649 10246 11468 13298 20492 22936 26596 40984 45872 53192 81968 91744 106384 163936 212768 312503 625006 1250012 2500024 5000048 10000096