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10531134 = 23631233
BaseRepresentation
bin101000001011…
…000100111110
3201211001000000
4220023010332
510143444014
61013415130
7155341005
oct50130476
921731000
1010531134
115a43219
12363a4a6
132249553
141581c3c
15dd0509
hexa0b13e

10531134 has 56 divisors (see below), whose sum is σ = 24553152. Its totient is φ = 3382560.

The previous prime is 10531121. The next prime is 10531139. The reversal of 10531134 is 43113501.

10531134 is a `hidden beast` number, since 1 + 0 + 531 + 134 = 666.

It is a super-3 number, since 3×105311343 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10531139) 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 27 ways as a sum of consecutive naturals, for example, 45082 + ... + 45314.

Almost surely, 210531134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10531134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12276576).

10531134 is an abundant number, since it is smaller than the sum of its proper divisors (14022018).

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

10531134 is an equidigital number, since it uses as much as digits as its factorization.

10531134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10531134 is about 3245.1708737754. The cubic root of 10531134 is about 219.1921750941.

Adding to 10531134 its reverse (43113501), we get a palindrome (53644635).

It can be divided in two parts, 1053 and 1134, that added together give a 7-th power (2187 = 37).

The spelling of 10531134 in words is "ten million, five hundred thirty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 233 243 279 466 486 558 699 729 837 1398 1458 1674 2097 2511 4194 5022 6291 7223 7533 12582 14446 15066 18873 21669 22599 37746 43338 45198 56619 65007 113238 130014 169857 195021 339714 390042 585063 1170126 1755189 3510378 5265567 10531134