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26103132 = 223211292273
BaseRepresentation
bin110001110010…
…0110101011100
31211010011202200
41203210311130
523140300012
62331251500
7434605266
oct143446534
954104680
1026103132
1113809740
1288a9b90
13553c353
143676b36
1524593dc
hex18e4d5c

26103132 has 72 divisors (see below), whose sum is σ = 74496240. Its totient is φ = 7633920.

The previous prime is 26103097. The next prime is 26103151. The reversal of 26103132 is 23130162.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10348 + ... + 12620.

It is an arithmetic number, because the mean of its divisors is an integer number (1034670).

Almost surely, 226103132 is an apocalyptic number.

26103132 is a gapful number since it is divisible by the number (22) 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 26103132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37248120).

26103132 is an abundant number, since it is smaller than the sum of its proper divisors (48393108).

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

26103132 is a wasteful number, since it uses less digits than its factorization.

26103132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 26103132 is about 5109.1224295372. The cubic root of 26103132 is about 296.6407928170.

Adding to 26103132 its reverse (23130162), we get a palindrome (49233294).

The spelling of 26103132 in words is "twenty-six million, one hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1914 2273 2871 3828 4546 5742 6819 9092 11484 13638 20457 25003 27276 40914 50006 65917 75009 81828 100012 131834 150018 197751 225027 263668 300036 395502 450054 593253 725087 791004 900108 1186506 1450174 2175261 2373012 2900348 4350522 6525783 8701044 13051566 26103132