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10389624 = 233761843
BaseRepresentation
bin100111101000…
…100001111000
3201112211212220
4213220201320
510124431444
61010404040
7154211310
oct47504170
921484786
1010389624
115956973
123590620
1321ca00b
141546440
15da3619
hex9e8878

10389624 has 32 divisors (see below), whose sum is σ = 29685120. Its totient is φ = 2968416.

The previous prime is 10389607. The next prime is 10389647. The reversal of 10389624 is 42698301.

It is a super-2 number, since 2×103896242 = 215888573722752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 30754 + ... + 31089.

It is an arithmetic number, because the mean of its divisors is an integer number (927660).

Almost surely, 210389624 is an apocalyptic number.

10389624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10389624 is an abundant number, since it is smaller than the sum of its proper divisors (19295496).

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

10389624 is a wasteful number, since it uses less digits than its factorization.

10389624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61859 (or 61855 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 10389624 is about 3223.2939673570. The cubic root of 10389624 is about 218.2059608385.

The spelling of 10389624 in words is "ten million, three hundred eighty-nine thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 61843 123686 185529 247372 371058 432901 494744 742116 865802 1298703 1484232 1731604 2597406 3463208 5194812 10389624