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10109484 = 22327211521
BaseRepresentation
bin100110100100…
…001000101100
3201000121121100
4212210020230
510042000414
61000403100
7151633500
oct46441054
921017540
1010109484
115785450
123476490
13212c658
1414b2300
15d4a609
hex9a422c

10109484 has 108 divisors (see below), whose sum is σ = 32491368. Its totient is φ = 2620800.

The previous prime is 10109479. The next prime is 10109497. The reversal of 10109484 is 48490101.

10109484 = 4302 + 4312 + ... + 4782.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19144 + ... + 19664.

It is an arithmetic number, because the mean of its divisors is an integer number (300846).

Almost surely, 210109484 is an apocalyptic number.

10109484 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 10109484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16245684).

10109484 is an abundant number, since it is smaller than the sum of its proper divisors (22381884).

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

10109484 is a wasteful number, since it uses less digits than its factorization.

10109484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10109484 is about 3179.5414763767. The cubic root of 10109484 is about 216.2268706816.

Adding to 10109484 its reverse (48490101), we get a palindrome (58599585).

The spelling of 10109484 in words is "ten million, one hundred nine thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 49 63 66 77 84 98 99 126 132 147 154 196 198 231 252 294 308 396 441 462 521 539 588 693 882 924 1042 1078 1386 1563 1617 1764 2084 2156 2772 3126 3234 3647 4689 4851 5731 6252 6468 7294 9378 9702 10941 11462 14588 17193 18756 19404 21882 22924 25529 32823 34386 40117 43764 51058 51579 65646 68772 76587 80234 102116 103158 120351 131292 153174 160468 206316 229761 240702 280819 306348 361053 459522 481404 561638 722106 842457 919044 1123276 1444212 1684914 2527371 3369828 5054742 10109484