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10084690 = 2572111871
BaseRepresentation
bin100110011110…
…000101010010
3200222100121001
4212132011102
510040202230
61000052214
7151501300
oct46360522
920870531
1010084690
115768860
12346406a
132121295
1414a7270
15d430ca
hex99e152

10084690 has 48 divisors (see below), whose sum is σ = 23048064. Its totient is φ = 3141600.

The previous prime is 10084673. The next prime is 10084691. The reversal of 10084690 is 9648001.

It is a super-2 number, since 2×100846902 = 203401944792200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10084691) 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 23 ways as a sum of consecutive naturals, for example, 4455 + ... + 6325.

It is an arithmetic number, because the mean of its divisors is an integer number (480168).

Almost surely, 210084690 is an apocalyptic number.

10084690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10084690 is an abundant number, since it is smaller than the sum of its proper divisors (12963374).

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

10084690 is a wasteful number, since it uses less digits than its factorization.

10084690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 10084690 is about 3175.6400929576. The cubic root of 10084690 is about 216.0499570092.

The spelling of 10084690 in words is "ten million, eighty-four thousand, six hundred ninety".

Divisors: 1 2 5 7 10 11 14 22 35 49 55 70 77 98 110 154 245 385 490 539 770 1078 1871 2695 3742 5390 9355 13097 18710 20581 26194 41162 65485 91679 102905 130970 144067 183358 205810 288134 458395 720335 916790 1008469 1440670 2016938 5042345 10084690