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10673408 = 28173241
BaseRepresentation
bin101000101101…
…110100000000
3202002021011102
4220231310000
510213022113
61020433532
7156502544
oct50556400
922067142
1010673408
1160300a9
1236a88a8
132299235
1415bba24
15e0c758
hexa2dd00

10673408 has 36 divisors (see below), whose sum is σ = 21517188. Its totient is φ = 5283840.

The previous prime is 10673401. The next prime is 10673413. The reversal of 10673408 is 80437601.

It can be written as a sum of positive squares in 2 ways, for example, as 8952064 + 1721344 = 2992^2 + 1312^2 .

It is a super-2 number, since 2×106734082 = 227843276668928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10673401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44168 + ... + 44408.

Almost surely, 210673408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10673408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10758594).

10673408 is an abundant number, since it is smaller than the sum of its proper divisors (10843780).

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

10673408 is an equidigital number, since it uses as much as digits as its factorization.

10673408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 10673408 is about 3267.0182123765. The cubic root of 10673408 is about 220.1748472275.

The spelling of 10673408 in words is "ten million, six hundred seventy-three thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 64 128 173 241 256 346 482 692 964 1384 1928 2768 3856 5536 7712 11072 15424 22144 30848 41693 44288 61696 83386 166772 333544 667088 1334176 2668352 5336704 10673408