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10505934 = 232661883
BaseRepresentation
bin101000000100…
…111011001110
3201202202102200
4220010323032
510142142214
61013102330
7155204355
oct50047316
921682380
1010505934
115a2629a
1236279a6
13223ac3a
14157699c
15dc7d09
hexa04ece

10505934 has 24 divisors (see below), whose sum is σ = 22823112. Its totient is φ = 3492720.

The previous prime is 10505921. The next prime is 10505939. The reversal of 10505934 is 43950501.

It is a super-2 number, since 2×105059342 = 220749298424712, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10505898 and 10505907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11457 + ... + 12339.

It is an arithmetic number, because the mean of its divisors is an integer number (950963).

Almost surely, 210505934 is an apocalyptic number.

10505934 is an abundant number, since it is smaller than the sum of its proper divisors (12317178).

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

10505934 is a wasteful number, since it uses less digits than its factorization.

10505934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 10505934 is about 3241.2858559529. The cubic root of 10505934 is about 219.0172001253.

The spelling of 10505934 in words is "ten million, five hundred five thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 18 661 883 1322 1766 1983 2649 3966 5298 5949 7947 11898 15894 583663 1167326 1750989 3501978 5252967 10505934