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10406320600 = 2352134002431
BaseRepresentation
bin10011011000100001…
…11101100111011000
3222212020022212012111
421230100331213120
5132303004224400
64440335322104
7515610160054
oct115420754730
928766285174
1010406320600
114460107765
122025080334
13c9ac32970
1470a0d0c64
1540d8be3ba
hex26c43d9d8

10406320600 has 48 divisors (see below), whose sum is σ = 26055832320. Its totient is φ = 3842332800.

The previous prime is 10406320571. The next prime is 10406320627. The reversal of 10406320600 is 602360401.

10406320600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1998616 + ... + 2003815.

It is an arithmetic number, because the mean of its divisors is an integer number (542829840).

Almost surely, 210406320600 is an apocalyptic number.

10406320600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10406320600 is an abundant number, since it is smaller than the sum of its proper divisors (15649511720).

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

10406320600 is a wasteful number, since it uses less digits than its factorization.

10406320600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002460 (or 4002451 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The spelling of 10406320600 in words is "ten billion, four hundred six million, three hundred twenty thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 4002431 8004862 16009724 20012155 32019448 40024310 52031603 80048620 100060775 104063206 160097240 200121550 208126412 260158015 400243100 416252824 520316030 800486200 1040632060 1300790075 2081264120 2601580150 5203160300 10406320600