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10128441 = 323229641
BaseRepresentation
bin100110101000…
…110000111001
3201001120121110
4212220300321
510043102231
61001030533
7152042661
oct46506071
921046543
1010128441
115798714
123485449
13213817b
1414b91a1
15d51046
hex9a8c39

10128441 has 16 divisors (see below), whose sum is σ = 14175360. Its totient is φ = 6420480.

The previous prime is 10128439. The next prime is 10128451. The reversal of 10128441 is 14482101.

It is a happy number.

It is not a de Polignac number, because 10128441 - 21 = 10128439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10128421) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15481 + ... + 16121.

It is an arithmetic number, because the mean of its divisors is an integer number (885960).

Almost surely, 210128441 is an apocalyptic number.

It is an amenable number.

10128441 is a deficient number, since it is larger than the sum of its proper divisors (4046919).

10128441 is a wasteful number, since it uses less digits than its factorization.

10128441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896.

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

The square root of 10128441 is about 3182.5211703931. The cubic root of 10128441 is about 216.3619403297.

It can be divided in two parts, 1012 and 8441, that added together give a triangular number (9453 = T137).

The spelling of 10128441 in words is "ten million, one hundred twenty-eight thousand, four hundred forty-one".

Divisors: 1 3 23 69 229 641 687 1923 5267 14743 15801 44229 146789 440367 3376147 10128441