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10386431 = 111974793
BaseRepresentation
bin100111100111…
…101111111111
3201112200111122
4213213233333
510124331211
61010341155
7154166066
oct47475777
921480448
1010386431
115954530
12358a7bb
1321c8723
1415451dd
15da26db
hex9e7bff

10386431 has 8 divisors (see below), whose sum is σ = 11390544. Its totient is φ = 9392320.

The previous prime is 10386427. The next prime is 10386443. The reversal of 10386431 is 13468301.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10386431 - 22 = 10386427 is a prime.

It is a super-2 number, since 2×103864312 = 215755897835522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10386431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10382431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230 + ... + 4563.

It is an arithmetic number, because the mean of its divisors is an integer number (1423818).

Almost surely, 210386431 is an apocalyptic number.

10386431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10386431 is a deficient number, since it is larger than the sum of its proper divisors (1004113).

10386431 is a wasteful number, since it uses less digits than its factorization.

10386431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 10386431 is about 3222.7986285215. The cubic root of 10386431 is about 218.1836051043.

The spelling of 10386431 in words is "ten million, three hundred eighty-six thousand, four hundred thirty-one".

Divisors: 1 11 197 2167 4793 52723 944221 10386431