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10496024 = 2371121549
BaseRepresentation
bin101000000010…
…100000011000
3201202020211122
4220002200120
510141333044
61012544412
7155133440
oct50024030
921666748
1010496024
115a19900
123622108
132236586
141573120
15dc4dee
hexa02818

10496024 has 48 divisors (see below), whose sum is σ = 24738000. Its totient is φ = 4086720.

The previous prime is 10495997. The next prime is 10496033. The reversal of 10496024 is 42069401.

It is a super-2 number, since 2×104960242 = 220333039617152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10495984 and 10496002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6002 + ... + 7550.

It is an arithmetic number, because the mean of its divisors is an integer number (515375).

Almost surely, 210496024 is an apocalyptic number.

10496024 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 10496024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12369000).

10496024 is an abundant number, since it is smaller than the sum of its proper divisors (14241976).

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

10496024 is a wasteful number, since it uses less digits than its factorization.

10496024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 10496024 is about 3239.7567809945. The cubic root of 10496024 is about 218.9483138730.

The spelling of 10496024 in words is "ten million, four hundred ninety-six thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 484 616 847 968 1549 1694 3098 3388 6196 6776 10843 12392 17039 21686 34078 43372 68156 86744 119273 136312 187429 238546 374858 477092 749716 954184 1312003 1499432 2624006 5248012 10496024