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13230240 = 253543641
BaseRepresentation
bin110010011110…
…000010100000
3220220011110220
4302132002200
511341331430
61151323040
7220312062
oct62360240
926804426
1013230240
117517091
124520480
132982c5a
141a85732
151265110
hexc9e0a0

13230240 has 96 divisors (see below), whose sum is σ = 42710976. Its totient is φ = 3440640.

The previous prime is 13230223. The next prime is 13230253. The reversal of 13230240 is 4203231.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20320 + ... + 20960.

It is an arithmetic number, because the mean of its divisors is an integer number (444906).

Almost surely, 213230240 is an apocalyptic number.

13230240 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 13230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21355488).

13230240 is an abundant number, since it is smaller than the sum of its proper divisors (29480736).

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

13230240 is a wasteful number, since it uses less digits than its factorization.

13230240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 13230240 is about 3637.3396871890. The cubic root of 13230240 is about 236.5134850405.

Adding to 13230240 its reverse (4203231), we get a palindrome (17433471).

The spelling of 13230240 in words is "thirteen million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 641 645 688 860 1032 1282 1290 1376 1720 1923 2064 2564 2580 3205 3440 3846 4128 5128 5160 6410 6880 7692 9615 10256 10320 12820 15384 19230 20512 20640 25640 27563 30768 38460 51280 55126 61536 76920 82689 102560 110252 137815 153840 165378 220504 275630 307680 330756 413445 441008 551260 661512 826890 882016 1102520 1323024 1653780 2205040 2646048 3307560 4410080 6615120 13230240