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10431104 = 27227359
BaseRepresentation
bin100111110010…
…101010000000
3201121221210012
4213302222000
510132243404
61011324052
7154443245
oct47625200
921557705
1010431104
115985052
1235b0628
132212b68
1415575cc
15db0a6e
hex9f2a80

10431104 has 32 divisors (see below), whose sum is σ = 20930400. Its totient is φ = 5178112.

The previous prime is 10431103. The next prime is 10431139. The reversal of 10431104 is 40113401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (10431101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28877 + ... + 29235.

It is an arithmetic number, because the mean of its divisors is an integer number (654075).

Almost surely, 210431104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10465200).

10431104 is an abundant number, since it is smaller than the sum of its proper divisors (10499296).

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

10431104 is an equidigital number, since it uses as much as digits as its factorization.

10431104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 10431104 is about 3229.7219694581. The cubic root of 10431104 is about 218.4959669848.

Adding to 10431104 its reverse (40113401), we get a palindrome (50544505).

The spelling of 10431104 in words is "ten million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 227 359 454 718 908 1436 1816 2872 3632 5744 7264 11488 14528 22976 29056 45952 81493 162986 325972 651944 1303888 2607776 5215552 10431104