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13061034 = 2337109317
BaseRepresentation
bin110001110100…
…101110101010
3220120120101000
4301310232222
511320423114
61143535430
7216005550
oct61645652
926516330
1013061034
117410a48
12445a576
132923c2c
141a3dbd0
15122ee09
hexc74baa

13061034 has 64 divisors (see below), whose sum is σ = 33580800. Its totient is φ = 3685824.

The previous prime is 13061029. The next prime is 13061039. The reversal of 13061034 is 43016031.

It is an interprime number because it is at equal distance from previous prime (13061029) and next prime (13061039).

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

It is a junction number, because it is equal to n+sod(n) for n = 13060998 and 13061016.

It is not an unprimeable number, because it can be changed into a prime (13061039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41044 + ... + 41360.

It is an arithmetic number, because the mean of its divisors is an integer number (524700).

Almost surely, 213061034 is an apocalyptic number.

13061034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13061034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16790400).

13061034 is an abundant number, since it is smaller than the sum of its proper divisors (20519766).

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

13061034 is a wasteful number, since it uses less digits than its factorization.

13061034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13061034 is about 3614.0052573288. The cubic root of 13061034 is about 235.5008722431.

Adding to 13061034 its reverse (43016031), we get a palindrome (56077065).

The spelling of 13061034 in words is "thirteen million, sixty-one thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 109 126 189 218 317 327 378 634 654 763 951 981 1526 1902 1962 2219 2289 2853 2943 4438 4578 5706 5886 6657 6867 8559 13314 13734 17118 19971 20601 34553 39942 41202 59913 69106 103659 119826 207318 241871 310977 483742 621954 725613 932931 1451226 1865862 2176839 4353678 6530517 13061034