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13106847 = 3131753373
BaseRepresentation
bin110001111111…
…111010011111
3220122220012210
4301333322133
511323404342
61144531503
7216256245
oct61777237
926586183
1013106847
117442406
124480b93
13293ba40
141a52795
15123d79c
hexc7fe9f

13106847 has 32 divisors (see below), whose sum is σ = 20357568. Its totient is φ = 7428096.

The previous prime is 13106837. The next prime is 13106857. The reversal of 13106847 is 74860131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13106837) and next prime (13106857).

It is not a de Polignac number, because 13106847 - 26 = 13106783 is a prime.

It is a super-4 number, since 4×131068474 (a number of 30 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13106837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34953 + ... + 35325.

It is an arithmetic number, because the mean of its divisors is an integer number (636174).

Almost surely, 213106847 is an apocalyptic number.

13106847 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13106847 is a deficient number, since it is larger than the sum of its proper divisors (7250721).

13106847 is a wasteful number, since it uses less digits than its factorization.

13106847 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 13106847 is about 3620.3379676489. The cubic root of 13106847 is about 235.7758992548.

Adding to 13106847 its reverse (74860131), we get a palindrome (87966978).

The spelling of 13106847 in words is "thirteen million, one hundred six thousand, eight hundred forty-seven".

Divisors: 1 3 13 17 39 51 53 159 221 373 663 689 901 1119 2067 2703 4849 6341 11713 14547 19023 19769 35139 59307 82433 247299 256997 336073 770991 1008219 4368949 13106847