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10090444 = 22713191459
BaseRepresentation
bin100110011111…
…011111001100
3200222122111011
4212133133030
510040343234
61000135004
7151524130
oct46373714
920878434
1010090444
115772111
123467464
132123aa0
1414a93c0
15d44b64
hex99f7cc

10090444 has 48 divisors (see below), whose sum is σ = 22892800. Its totient is φ = 3779136.

The previous prime is 10090441. The next prime is 10090447. The reversal of 10090444 is 44409001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10090441) and next prime (10090447).

It is not an unprimeable number, because it can be changed into a prime (10090441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6187 + ... + 7645.

Almost surely, 210090444 is an apocalyptic number.

10090444 is a gapful number since it is divisible by the number (14) 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 10090444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11446400).

10090444 is an abundant number, since it is smaller than the sum of its proper divisors (12802356).

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

10090444 is a wasteful number, since it uses less digits than its factorization.

10090444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 10090444 is about 3176.5459228539. The cubic root of 10090444 is about 216.0910395840.

Adding to 10090444 its reverse (44409001), we get a palindrome (54499445).

The spelling of 10090444 in words is "ten million, ninety thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 182 247 266 364 494 532 988 1459 1729 2918 3458 5836 6916 10213 18967 20426 27721 37934 40852 55442 75868 110884 132769 194047 265538 360373 388094 531076 720746 776188 1441492 2522611 5045222 10090444