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10589934 = 237124859
BaseRepresentation
bin101000011001…
…011011101110
3201221000122210
4220121123232
510202334214
61014551250
7156004305
oct50313356
921830583
1010589934
115a83413
123668526
13226a244
14159943c
15de2b59
hexa196ee

10589934 has 16 divisors (see below), whose sum is σ = 21479040. Its totient is φ = 3480120.

The previous prime is 10589933. The next prime is 10589939. The reversal of 10589934 is 43998501.

It is a super-2 number, since 2×105899342 = 224293404248712, 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 = 10589892 and 10589901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10589933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12004 + ... + 12855.

It is an arithmetic number, because the mean of its divisors is an integer number (1342440).

Almost surely, 210589934 is an apocalyptic number.

10589934 is an abundant number, since it is smaller than the sum of its proper divisors (10889106).

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

10589934 is a wasteful number, since it uses less digits than its factorization.

10589934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24935.

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 10589934 is about 3254.2178783849. The cubic root of 10589934 is about 219.5993672863.

The spelling of 10589934 in words is "ten million, five hundred eighty-nine thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 71 142 213 426 24859 49718 74577 149154 1764989 3529978 5294967 10589934