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13125966 = 237595297
BaseRepresentation
bin110010000100…
…100101001110
3220200212102220
4302010211032
511330012331
61145200210
7216366060
oct62044516
926625386
1013125966
117455807
124490066
132947659
141a59730
151244296
hexc8494e

13125966 has 32 divisors (see below), whose sum is σ = 30516480. Its totient is φ = 3686016.

The previous prime is 13125961. The next prime is 13125971. The reversal of 13125966 is 66952131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13125961) and next prime (13125971).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13125961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171 + ... + 5126.

It is an arithmetic number, because the mean of its divisors is an integer number (953640).

Almost surely, 213125966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13125966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15258240).

13125966 is an abundant number, since it is smaller than the sum of its proper divisors (17390514).

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

13125966 is a wasteful number, since it uses less digits than its factorization.

13125966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5368.

The product of its digits is 9720, while the sum is 33.

The square root of 13125966 is about 3622.9775047604. The cubic root of 13125966 is about 235.8904859118.

The spelling of 13125966 in words is "thirteen million, one hundred twenty-five thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 59 118 177 354 413 826 1239 2478 5297 10594 15891 31782 37079 74158 111237 222474 312523 625046 937569 1875138 2187661 4375322 6562983 13125966