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10516324 = 22713167173
BaseRepresentation
bin101000000111…
…011101100100
3201210021200111
4220013131210
510143010244
61013222404
7155246560
oct50073544
921707614
1010516324
115a33085
123631a04
1322428a0
14157a6a0
15dcae34
hexa07764

10516324 has 48 divisors (see below), whose sum is σ = 22917888. Its totient is φ = 4111488.

The previous prime is 10516321. The next prime is 10516327. The reversal of 10516324 is 42361501.

It is an interprime number because it is at equal distance from previous prime (10516321) and next prime (10516327).

It is a super-2 number, since 2×105163242 = 221186140945952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10516295 and 10516304.

It is not an unprimeable number, because it can be changed into a prime (10516321) 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 15 ways as a sum of consecutive naturals, for example, 60702 + ... + 60874.

It is an arithmetic number, because the mean of its divisors is an integer number (477456).

Almost surely, 210516324 is an apocalyptic number.

10516324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10516324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11458944).

10516324 is an abundant number, since it is smaller than the sum of its proper divisors (12401564).

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

10516324 is a wasteful number, since it uses less digits than its factorization.

10516324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 10516324 is about 3242.8882188568. Note that the first 3 decimals coincide. The cubic root of 10516324 is about 219.0893764453.

Adding to 10516324 its reverse (42361501), we get a palindrome (52877825).

The spelling of 10516324 in words is "ten million, five hundred sixteen thousand, three hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 167 173 182 334 346 364 668 692 1169 1211 2171 2249 2338 2422 4342 4498 4676 4844 8684 8996 15197 15743 28891 30394 31486 57782 60788 62972 115564 202237 375583 404474 751166 808948 1502332 2629081 5258162 10516324