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9912096 = 2532127271
BaseRepresentation
bin100101110011…
…111100100000
3200122120211200
4211303330200
510014141341
6552241200
7150152145
oct45637440
920576750
109912096
115660117
1233a0200
13209085c
1414603cc
15d0bdb6
hex973f20

9912096 has 72 divisors (see below), whose sum is σ = 28514304. Its totient is φ = 3265920.

The previous prime is 9912079. The next prime is 9912101. The reversal of 9912096 is 6902199.

9912096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×99120962 = 196499294226432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 9912096.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36441 + ... + 36711.

It is an arithmetic number, because the mean of its divisors is an integer number (396032).

Almost surely, 29912096 is an apocalyptic number.

9912096 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 9912096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14257152).

9912096 is an abundant number, since it is smaller than the sum of its proper divisors (18602208).

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

9912096 is a wasteful number, since it uses less digits than its factorization.

9912096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 9912096 is about 3148.3481383100. The cubic root of 9912096 is about 214.8103320977.

The spelling of 9912096 in words is "nine million, nine hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 144 254 271 288 381 508 542 762 813 1016 1084 1143 1524 1626 2032 2168 2286 2439 3048 3252 4064 4336 4572 4878 6096 6504 8672 9144 9756 12192 13008 18288 19512 26016 34417 36576 39024 68834 78048 103251 137668 206502 275336 309753 413004 550672 619506 826008 1101344 1239012 1652016 2478024 3304032 4956048 9912096