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13206042 = 23217103419
BaseRepresentation
bin110010011000…
…001000011010
3220211221021200
4302120020122
511340043132
61151015030
7220151403
oct62301032
926757250
1013206042
1174aa993
12450a476
132974c35
141a7a9aa
15125cd7c
hexc9821a

13206042 has 48 divisors (see below), whose sum is σ = 30663360. Its totient is φ = 4093056.

The previous prime is 13206041. The next prime is 13206043. The reversal of 13206042 is 24060231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13206041) and next prime (13206043).

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

It is not an unprimeable number, because it can be changed into a prime (13206041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31309 + ... + 31727.

It is an arithmetic number, because the mean of its divisors is an integer number (638820).

Almost surely, 213206042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13206042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15331680).

13206042 is an abundant number, since it is smaller than the sum of its proper divisors (17457318).

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

13206042 is a wasteful number, since it uses less digits than its factorization.

13206042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13206042 is about 3634.0118326720. The cubic root of 13206042 is about 236.3692033026.

Adding to 13206042 its reverse (24060231), we get a palindrome (37266273).

The spelling of 13206042 in words is "thirteen million, two hundred six thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 103 153 206 306 309 419 618 838 927 1257 1751 1854 2514 3502 3771 5253 7123 7542 10506 14246 15759 21369 31518 42738 43157 64107 86314 128214 129471 258942 388413 733669 776826 1467338 2201007 4402014 6603021 13206042