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10505412 = 2232291817
BaseRepresentation
bin101000000100…
…110011000100
3201202201201100
4220010303010
510142133122
61013100100
7155203011
oct50046304
921681640
1010505412
115a25965
123627630
13223a928
141576708
15dc7aac
hexa04cc4

10505412 has 18 divisors (see below), whose sum is σ = 26555438. Its totient is φ = 3501792.

The previous prime is 10505401. The next prime is 10505413. The reversal of 10505412 is 21450501.

It can be written as a sum of positive squares in only one way, i.e., 10458756 + 46656 = 3234^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105054122 = 220727362579488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505413) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 145873 + ... + 145944.

Almost surely, 210505412 is an apocalyptic number.

10505412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10505412 is an abundant number, since it is smaller than the sum of its proper divisors (16050026).

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

10505412 is a wasteful number, since it uses less digits than its factorization.

10505412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291827 (or 291822 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 10505412 is about 3241.2053313544. The cubic root of 10505412 is about 219.0135726873.

Adding to 10505412 its reverse (21450501), we get a palindrome (31955913).

The spelling of 10505412 in words is "ten million, five hundred five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 291817 583634 875451 1167268 1750902 2626353 3501804 5252706 10505412