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10084760 = 235736017
BaseRepresentation
bin100110011110…
…000110011000
3200222100200122
4212132012120
510040203020
61000052412
7151501430
oct46360630
920870618
1010084760
115768914
123464108
13212131a
1414a72c0
15d43125
hex99e198

10084760 has 32 divisors (see below), whose sum is σ = 25932960. Its totient is φ = 3457536.

The previous prime is 10084733. The next prime is 10084783. The reversal of 10084760 is 6748001.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 17729 + ... + 18288.

It is an arithmetic number, because the mean of its divisors is an integer number (810405).

Almost surely, 210084760 is an apocalyptic number.

10084760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10084760 is an abundant number, since it is smaller than the sum of its proper divisors (15848200).

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

10084760 is a wasteful number, since it uses less digits than its factorization.

10084760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36035 (or 36031 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 10084760 is about 3175.6511143386. The cubic root of 10084760 is about 216.0504568911.

The spelling of 10084760 in words is "ten million, eighty-four thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 36017 72034 144068 180085 252119 288136 360170 504238 720340 1008476 1260595 1440680 2016952 2521190 5042380 10084760