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10100096 = 27194153
BaseRepresentation
bin100110100001…
…110110000000
3201000010201122
4212201312000
510041200341
61000251412
7151564226
oct46416600
921003648
1010100096
115779396
123470b68
1321282b6
1414acb16
15d4794b
hex9a1d80

10100096 has 32 divisors (see below), whose sum is σ = 21185400. Its totient is φ = 4783104.

The previous prime is 10100089. The next prime is 10100099. The reversal of 10100096 is 69000101.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100099) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 356 + ... + 4508.

Almost surely, 210100096 is an apocalyptic number.

10100096 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 10100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10592700).

10100096 is an abundant number, since it is smaller than the sum of its proper divisors (11085304).

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

10100096 is an equidigital number, since it uses as much as digits as its factorization.

10100096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4186 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 10100096 is about 3178.0648199809. The cubic root of 10100096 is about 216.1599181533.

Adding to 10100096 its reverse (69000101), we get a palindrome (79100197).

The spelling of 10100096 in words is "ten million, one hundred thousand, ninety-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 2432 4153 8306 16612 33224 66448 78907 132896 157814 265792 315628 531584 631256 1262512 2525024 5050048 10100096