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9240096 = 253293319
BaseRepresentation
bin100011001111…
…111000100000
3122101110000210
4203033320200
54331140341
6530014120
7141353025
oct43177040
918343023
109240096
115241248
123117340
131bb6a18
14132754c
15c27c16
hex8cfe20

9240096 has 48 divisors (see below), whose sum is σ = 25099200. Its totient is φ = 2972928.

The previous prime is 9240053. The next prime is 9240107. The reversal of 9240096 is 6900429.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1125 + ... + 4443.

It is an arithmetic number, because the mean of its divisors is an integer number (522900).

Almost surely, 29240096 is an apocalyptic number.

9240096 is a gapful number since it is divisible by the number (96) 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 9240096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12549600).

9240096 is an abundant number, since it is smaller than the sum of its proper divisors (15859104).

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

9240096 is a wasteful number, since it uses less digits than its factorization.

9240096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3361 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 9240096 is about 3039.7526215138. The cubic root of 9240096 is about 209.8418764325.

The spelling of 9240096 in words is "nine million, two hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 3319 6638 9957 13276 19914 26552 39828 53104 79656 96251 106208 159312 192502 288753 318624 385004 577506 770008 1155012 1540016 2310024 3080032 4620048 9240096