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10134124 = 22711132531
BaseRepresentation
bin100110101010…
…001001101100
3201001212101221
4212222021230
510043242444
61001113124
7152065360
oct46521154
921055357
1010134124
1157a1a10
1234887a4
13213a930
1414bb2a0
15d52a84
hex9aa26c

10134124 has 48 divisors (see below), whose sum is σ = 23821056. Its totient is φ = 3643200.

The previous prime is 10134109. The next prime is 10134127. The reversal of 10134124 is 42143101.

It is a junction number, because it is equal to n+sod(n) for n = 10134098 and 10134107.

It is not an unprimeable number, because it can be changed into a prime (10134127) 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 15 ways as a sum of consecutive naturals, for example, 2739 + ... + 5269.

It is an arithmetic number, because the mean of its divisors is an integer number (496272).

Almost surely, 210134124 is an apocalyptic number.

10134124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10134124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11910528).

10134124 is an abundant number, since it is smaller than the sum of its proper divisors (13686932).

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

10134124 is a wasteful number, since it uses less digits than its factorization.

10134124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 10134124 is about 3183.4138907783. The cubic root of 10134124 is about 216.4023991725.

Adding to 10134124 its reverse (42143101), we get a palindrome (52277225).

It can be divided in two parts, 101 and 34124, that added together give a square (34225 = 1852).

The spelling of 10134124 in words is "ten million, one hundred thirty-four thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 2531 4004 5062 10124 17717 27841 32903 35434 55682 65806 70868 111364 131612 194887 230321 361933 389774 460642 723866 779548 921284 1447732 2533531 5067062 10134124