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13166592 = 21132143
BaseRepresentation
bin110010001110…
…100000000000
3220202221011120
4302032200000
511332312332
61150112240
7216625365
oct62164000
926687146
1013166592
11748328a
1244ab680
13295ccaa
141a6a46c
15125132c
hexc8e800

13166592 has 48 divisors (see below), whose sum is σ = 35118720. Its totient is φ = 4386816.

The previous prime is 13166591. The next prime is 13166623. The reversal of 13166592 is 29566131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (13166591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5073 + ... + 7215.

It is an arithmetic number, because the mean of its divisors is an integer number (731640).

Almost surely, 213166592 is an apocalyptic number.

13166592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13166592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17559360).

13166592 is an abundant number, since it is smaller than the sum of its proper divisors (21952128).

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

13166592 is an equidigital number, since it uses as much as digits as its factorization.

13166592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2148 counting only the distinct ones).

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

The square root of 13166592 is about 3628.5798875042. The cubic root of 13166592 is about 236.1336024137.

The spelling of 13166592 in words is "thirteen million, one hundred sixty-six thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 2143 3072 4286 6144 6429 8572 12858 17144 25716 34288 51432 68576 102864 137152 205728 274304 411456 548608 822912 1097216 1645824 2194432 3291648 4388864 6583296 13166592