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13254240 = 253553521
BaseRepresentation
bin110010100011…
…111001100000
3220221101101210
4302203321200
511343113430
61152030120
7220442046
oct62437140
926841353
1013254240
11753311a
124532340
132990b5c
141a90396
15126c2b0
hexca3e60

13254240 has 96 divisors (see below), whose sum is σ = 42620256. Its totient is φ = 3461120.

The previous prime is 13254239. The next prime is 13254257. The reversal of 13254240 is 4245231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25180 + ... + 25700.

It is an arithmetic number, because the mean of its divisors is an integer number (443961).

Almost surely, 213254240 is an apocalyptic number.

13254240 is a gapful number since it is divisible by the number (10) 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 13254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21310128).

13254240 is an abundant number, since it is smaller than the sum of its proper divisors (29366016).

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

13254240 is a wasteful number, since it uses less digits than its factorization.

13254240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 13254240 is about 3640.6373068462. The cubic root of 13254240 is about 236.6564125249.

Adding to 13254240 its reverse (4245231), we get a palindrome (17499471).

Subtracting from 13254240 its reverse (4245231), we obtain a palindrome (9009009).

It can be divided in two parts, 1325 and 4240, that added together give a triangular number (5565 = T105).

The spelling of 13254240 in words is "thirteen million, two hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 120 159 160 212 240 265 318 424 480 521 530 636 795 848 1042 1060 1272 1563 1590 1696 2084 2120 2544 2605 3126 3180 4168 4240 5088 5210 6252 6360 7815 8336 8480 10420 12504 12720 15630 16672 20840 25008 25440 27613 31260 41680 50016 55226 62520 82839 83360 110452 125040 138065 165678 220904 250080 276130 331356 414195 441808 552260 662712 828390 883616 1104520 1325424 1656780 2209040 2650848 3313560 4418080 6627120 13254240