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10018120 = 235737967
BaseRepresentation
bin100110001101…
…110101001000
3200211222021111
4212031311020
510031034440
6554420104
7151103230
oct46156510
920758244
1010018120
115722842
123431634
1320c9ba8
14148acc0
15d2d4ea
hex98dd48

10018120 has 64 divisors (see below), whose sum is σ = 26484480. Its totient is φ = 3338496.

The previous prime is 10018109. The next prime is 10018121. The reversal of 10018120 is 2181001.

10018120 = T115 + T116 + ... + T394.

It is a self number, because there is not a number n which added to its sum of digits gives 10018120.

It is not an unprimeable number, because it can be changed into a prime (10018121) 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, 9877 + ... + 10843.

It is an arithmetic number, because the mean of its divisors is an integer number (413820).

Almost surely, 210018120 is an apocalyptic number.

10018120 is a gapful number since it is divisible by the number (10) 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 10018120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13242240).

10018120 is an abundant number, since it is smaller than the sum of its proper divisors (16466360).

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

10018120 is a wasteful number, since it uses less digits than its factorization.

10018120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 10018120 is about 3165.1413870473. The cubic root of 10018120 is about 215.5735183403.

Adding to 10018120 its reverse (2181001), we get a palindrome (12199121).

The spelling of 10018120 in words is "ten million, eighteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 518 740 967 1036 1295 1480 1934 2072 2590 3868 4835 5180 6769 7736 9670 10360 13538 19340 27076 33845 35779 38680 54152 67690 71558 135380 143116 178895 250453 270760 286232 357790 500906 715580 1001812 1252265 1431160 2003624 2504530 5009060 10018120