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10385130 = 2357172909
BaseRepresentation
bin100111100111…
…011011101010
3201112121201110
4213213123222
510124311010
61010331150
7154162230
oct47473352
921477643
1010385130
115953558
123589ab6
1321c7c62
141544950
15da2120
hex9e76ea

10385130 has 64 divisors (see below), whose sum is σ = 30170880. Its totient is φ = 2233344.

The previous prime is 10385129. The next prime is 10385131. The reversal of 10385130 is 3158301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10385129) and next prime (10385131).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10385097 and 10385106.

It is not an unprimeable number, because it can be changed into a prime (10385131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2116 + ... + 5024.

It is an arithmetic number, because the mean of its divisors is an integer number (471420).

Almost surely, 210385130 is an apocalyptic number.

10385130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10385130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15085440).

10385130 is an abundant number, since it is smaller than the sum of its proper divisors (19785750).

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

10385130 is a wasteful number, since it uses less digits than its factorization.

10385130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 10385130 is about 3222.5967789967. The cubic root of 10385130 is about 218.1744948615.

The spelling of 10385130 in words is "ten million, three hundred eighty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 1190 1785 2909 3570 5818 8727 14545 17454 20363 29090 40726 43635 49453 61089 87270 98906 101815 122178 148359 203630 247265 296718 305445 346171 494530 610890 692342 741795 1038513 1483590 1730855 2077026 3461710 5192565 10385130