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10364431 = 73114167
BaseRepresentation
bin100111100010…
…011000001111
3201111120022211
4213202120033
510123130211
61010051251
7154045000
oct47423017
921446284
1010364431
115939a50
123579b27
1321bb6cc
14153b1a7
15d9ae21
hex9e260f

10364431 has 32 divisors (see below), whose sum is σ = 13708800. Its totient is φ = 7761600.

The previous prime is 10364423. The next prime is 10364491. The reversal of 10364431 is 13446301.

10364431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10364431 - 23 = 10364423 is a prime.

It is a super-2 number, since 2×103644312 = 214842859907522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10364401) 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, 154660 + ... + 154726.

It is an arithmetic number, because the mean of its divisors is an integer number (428400).

Almost surely, 210364431 is an apocalyptic number.

10364431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10364431 is a deficient number, since it is larger than the sum of its proper divisors (3344369).

10364431 is an equidigital number, since it uses as much as digits as its factorization.

10364431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 10364431 is about 3219.3836366609. The cubic root of 10364431 is about 218.0294478077.

The spelling of 10364431 in words is "ten million, three hundred sixty-four thousand, four hundred thirty-one".

Divisors: 1 7 11 41 49 67 77 287 343 451 469 539 737 2009 2747 3157 3283 3773 5159 14063 19229 22099 22981 30217 36113 134603 154693 211519 252791 942221 1480633 10364431