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13502106 = 233614099
BaseRepresentation
bin110011100000…
…011010011010
3221101222102000
4303200122122
511424031411
61201221430
7222523512
oct63403232
927358360
1013502106
117692372
124631876
132a49917
141b16842
1512ba956
hexce069a

13502106 has 32 divisors (see below), whose sum is σ = 30504000. Its totient is φ = 4425840.

The previous prime is 13502089. The next prime is 13502107. The reversal of 13502106 is 60120531.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13502107) 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, 1245 + ... + 5343.

It is an arithmetic number, because the mean of its divisors is an integer number (953250).

Almost surely, 213502106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13502106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15252000).

13502106 is an abundant number, since it is smaller than the sum of its proper divisors (17001894).

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

13502106 is a wasteful number, since it uses less digits than its factorization.

13502106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171 (or 4165 counting only the distinct ones).

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

The square root of 13502106 is about 3674.5211932985. The cubic root of 13502106 is about 238.1225388796.

Adding to 13502106 its reverse (60120531), we get a palindrome (73622637).

The spelling of 13502106 in words is "thirteen million, five hundred two thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 366 549 1098 1647 3294 4099 8198 12297 24594 36891 73782 110673 221346 250039 500078 750117 1500234 2250351 4500702 6751053 13502106