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10584084 = 2237126001
BaseRepresentation
bin101000011000…
…000000010100
3201220201122010
4220120000110
510202142314
61014504220
7155651250
oct50300024
921821563
1010584084
115a79a85
123665070
132267694
141597260
15de1059
hexa18014

10584084 has 24 divisors (see below), whose sum is σ = 28224448. Its totient is φ = 3024000.

The previous prime is 10584073. The next prime is 10584089. The reversal of 10584084 is 48048501.

It is a super-2 number, since 2×105840842 = 224045668238112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10584089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62917 + ... + 63084.

Almost surely, 210584084 is an apocalyptic number.

10584084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10584084 is an abundant number, since it is smaller than the sum of its proper divisors (17640364).

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

10584084 is a wasteful number, since it uses less digits than its factorization.

10584084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126015 (or 126013 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 10584084 is about 3253.3189207331. The cubic root of 10584084 is about 219.5589234420.

The spelling of 10584084 in words is "ten million, five hundred eighty-four thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 126001 252002 378003 504004 756006 882007 1512012 1764014 2646021 3528028 5292042 10584084