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10144128 = 27326417
BaseRepresentation
bin100110101100…
…100110000000
3201002101010110
4212230212000
510044103003
61001231320
7152136501
oct46544600
921071113
1010144128
1157a9485
123492540
132142357
1414c0ba8
15d55a03
hex9ac980

10144128 has 32 divisors (see below), whose sum is σ = 26946360. Its totient is φ = 3381248.

The previous prime is 10144111. The next prime is 10144139. The reversal of 10144128 is 82144101.

It is a happy number.

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 polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12825 + ... + 13592.

Almost surely, 210144128 is an apocalyptic number.

It is an amenable number.

10144128 is an abundant number, since it is smaller than the sum of its proper divisors (16802232).

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

10144128 is an equidigital number, since it uses as much as digits as its factorization.

10144128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26434 (or 26422 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 10144128 is about 3184.9847723341. The cubic root of 10144128 is about 216.4735836718.

Adding to 10144128 its reverse (82144101), we get a palindrome (92288229).

The spelling of 10144128 in words is "ten million, one hundred forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 26417 52834 79251 105668 158502 211336 317004 422672 634008 845344 1268016 1690688 2536032 3381376 5072064 10144128