Search a number
-
+
13260096 = 263223021
BaseRepresentation
bin110010100101…
…010101000000
3220221200102200
4302211111000
511343310341
61152113200
7220465113
oct62452500
926850380
1013260096
117537563
124535800
132993715
141a9257a
15126ddb6
hexca5540

13260096 has 42 divisors (see below), whose sum is σ = 38009322. Its totient is φ = 4419840.

The previous prime is 13260089. The next prime is 13260113. The reversal of 13260096 is 69006231.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9000000 + 4260096 = 3000^2 + 2064^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10935 + ... + 12086.

Almost surely, 213260096 is an apocalyptic number.

13260096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13260096 is an abundant number, since it is smaller than the sum of its proper divisors (24749226).

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

13260096 is a wasteful number, since it uses less digits than its factorization.

13260096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23039 (or 23026 counting only the distinct ones).

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

The square root of 13260096 is about 3641.4414728236. The cubic root of 13260096 is about 236.6912606415.

The spelling of 13260096 in words is "thirteen million, two hundred sixty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 23021 46042 69063 92084 138126 184168 207189 276252 368336 414378 552504 736672 828756 1105008 1473344 1657512 2210016 3315024 4420032 6630048 13260096