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10496128 = 27431907
BaseRepresentation
bin101000000010…
…100010000000
3201202020222111
4220002202000
510141334003
61012545104
7155133646
oct50024200
921666874
1010496128
115a19995
123622194
132236636
141573196
15dc4e6d
hexa02880

10496128 has 32 divisors (see below), whose sum is σ = 21407760. Its totient is φ = 5123328.

The previous prime is 10496099. The next prime is 10496131. The reversal of 10496128 is 82169401.

It is a happy number.

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

It is a super-2 number, since 2×104961282 = 220337405984768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10496128.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4551 + ... + 6457.

Almost surely, 210496128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10496128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10703880).

10496128 is an abundant number, since it is smaller than the sum of its proper divisors (10911632).

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

10496128 is an equidigital number, since it uses as much as digits as its factorization.

10496128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 10496128 is about 3239.7728315424. The cubic root of 10496128 is about 218.9490370214.

The spelling of 10496128 in words is "ten million, four hundred ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 688 1376 1907 2752 3814 5504 7628 15256 30512 61024 82001 122048 164002 244096 328004 656008 1312016 2624032 5248064 10496128