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10385430 = 2351122861
BaseRepresentation
bin100111100111…
…100000010110
3201112122010120
4213213200112
510124313210
61010332410
7154163136
oct47474026
921478116
1010385430
115953800
12358a106
1321c8133
141544ac6
15da2270
hex9e7816

10385430 has 48 divisors (see below), whose sum is σ = 27406512. Its totient is φ = 2516800.

The previous prime is 10385429. The next prime is 10385447. The reversal of 10385430 is 3458301.

10385430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10385430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2200 + ... + 5060.

It is an arithmetic number, because the mean of its divisors is an integer number (570969).

Almost surely, 210385430 is an apocalyptic number.

10385430 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 10385430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13703256).

10385430 is an abundant number, since it is smaller than the sum of its proper divisors (17021082).

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

10385430 is a wasteful number, since it uses less digits than its factorization.

10385430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 10385430 is about 3222.6433249741. The cubic root of 10385430 is about 218.1765956768.

The spelling of 10385430 in words is "ten million, three hundred eighty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 2861 3630 5722 8583 14305 17166 28610 31471 42915 62942 85830 94413 157355 188826 314710 346181 472065 692362 944130 1038543 1730905 2077086 3461810 5192715 10385430