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13126104 = 233367907
BaseRepresentation
bin110010000100…
…100111011000
3220200212122000
4302010213120
511330013404
61145201000
7216366345
oct62044730
926625560
1013126104
117455922
124490160
132947734
141a597cc
151244339
hexc849d8

13126104 has 64 divisors (see below), whose sum is σ = 37046400. Its totient is φ = 4305312.

The previous prime is 13126097. The next prime is 13126121. The reversal of 13126104 is 40162131.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14019 + ... + 14925.

It is an arithmetic number, because the mean of its divisors is an integer number (578850).

Almost surely, 213126104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13126104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18523200).

13126104 is an abundant number, since it is smaller than the sum of its proper divisors (23920296).

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

13126104 is a wasteful number, since it uses less digits than its factorization.

13126104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13126104 is about 3622.9965498189. The cubic root of 13126104 is about 235.8913125881.

Adding to 13126104 its reverse (40162131), we get a palindrome (53288235).

The spelling of 13126104 in words is "thirteen million, one hundred twenty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 134 201 216 268 402 536 603 804 907 1206 1608 1809 1814 2412 2721 3618 3628 4824 5442 7236 7256 8163 10884 14472 16326 21768 24489 32652 48978 60769 65304 97956 121538 182307 195912 243076 364614 486152 546921 729228 1093842 1458456 1640763 2187684 3281526 4375368 6563052 13126104