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13166136 = 23321071709
BaseRepresentation
bin110010001110…
…011000111000
3220202220112200
4302032120320
511332304021
61150110200
7216624144
oct62163070
926686480
1013166136
117482a05
1244ab360
13295ca19
141a6a224
151251126
hexc8e638

13166136 has 48 divisors (see below), whose sum is σ = 36012600. Its totient is φ = 4345152.

The previous prime is 13166129. The next prime is 13166137. The reversal of 13166136 is 63166131.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13166137) 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 11 ways as a sum of consecutive naturals, for example, 6850 + ... + 8558.

Almost surely, 213166136 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 13166136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18006300).

13166136 is an abundant number, since it is smaller than the sum of its proper divisors (22846464).

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

13166136 is a wasteful number, since it uses less digits than its factorization.

13166136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1821 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 13166136 is about 3628.5170524610. The cubic root of 13166136 is about 236.1308763687.

The spelling of 13166136 in words is "thirteen million, one hundred sixty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 856 963 1284 1709 1926 2568 3418 3852 5127 6836 7704 10254 13672 15381 20508 30762 41016 61524 123048 182863 365726 548589 731452 1097178 1462904 1645767 2194356 3291534 4388712 6583068 13166136