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10385320 = 2351123603
BaseRepresentation
bin100111100111…
…011110101000
3201112121222111
4213213132220
510124312240
61010332104
7154162621
oct47473650
921477874
1010385320
115953710
12358a034
1321c807a
141544a48
15da21ea
hex9e77a8

10385320 has 32 divisors (see below), whose sum is σ = 25492320. Its totient is φ = 3776320.

The previous prime is 10385303. The next prime is 10385339. The reversal of 10385320 is 2358301.

It is a super-3 number, since 3×103853203 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10385291 and 10385300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11362 + ... + 12241.

It is an arithmetic number, because the mean of its divisors is an integer number (796635).

Almost surely, 210385320 is an apocalyptic number.

10385320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10385320 is an abundant number, since it is smaller than the sum of its proper divisors (15107000).

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

10385320 is a wasteful number, since it uses less digits than its factorization.

10385320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23625 (or 23621 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 10385320 is about 3222.6262581938. The cubic root of 10385320 is about 218.1758253825.

The spelling of 10385320 in words is "ten million, three hundred eighty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 23603 47206 94412 118015 188824 236030 259633 472060 519266 944120 1038532 1298165 2077064 2596330 5192660 10385320