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10026368 = 27117121
BaseRepresentation
bin100110001111…
…110110000000
3200212101120222
4212033312000
510031320433
6554522212
7151136252
oct46176600
920771528
1010026368
115728a60
123436368
132100881
14148dcd2
15d30b98
hex98fd80

10026368 has 32 divisors (see below), whose sum is σ = 21793320. Its totient is φ = 4556800.

The previous prime is 10026343. The next prime is 10026383. The reversal of 10026368 is 86362001.

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

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 2153 + ... + 4968.

Almost surely, 210026368 is an apocalyptic number.

It is an amenable number.

10026368 is an abundant number, since it is smaller than the sum of its proper divisors (11766952).

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

10026368 is an equidigital number, since it uses as much as digits as its factorization.

10026368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7146 (or 7134 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 10026368 is about 3166.4440623513. Note that the first 3 decimals coincide. The cubic root of 10026368 is about 215.6326632577.

Adding to 10026368 its reverse (86362001), we get a palindrome (96388369).

The spelling of 10026368 in words is "ten million, twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 7121 14242 28484 56968 78331 113936 156662 227872 313324 455744 626648 911488 1253296 2506592 5013184 10026368