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9103680 = 2632529109
BaseRepresentation
bin100010101110…
…100101000000
3122010111220100
4202232211000
54312304210
6523042400
7140244225
oct42564500
918114810
109103680
115158803
123070400
131b698c1
1412cd94c
15bec5c0
hex8ae940

9103680 has 168 divisors, whose sum is σ = 32689800. Its totient is φ = 2322432.

The previous prime is 9103673. The next prime is 9103693. The reversal of 9103680 is 863019.

9103680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1617984 + 7485696 = 1272^2 + 2736^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83466 + ... + 83574.

Almost surely, 29103680 is an apocalyptic number.

9103680 is a gapful number since it is divisible by the number (90) 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 9103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16344900).

9103680 is an abundant number, since it is smaller than the sum of its proper divisors (23586120).

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

9103680 is a wasteful number, since it uses less digits than its factorization.

9103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9103680 is about 3017.2305182071. The cubic root of 9103680 is about 208.8040867655.

Adding to 9103680 its reverse (863019), we get a palindrome (9966699).

The spelling of 9103680 in words is "nine million, one hundred three thousand, six hundred eighty".