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13665060 = 2232589853
BaseRepresentation
bin110100001000…
…001100100100
3221201020221100
4310020030210
511444240220
61204520100
7224102553
oct64101444
927636840
1013665060
117793842
1246b0030
132aa5b46
141b59d9a
1512edd90
hexd08324

13665060 has 72 divisors (see below), whose sum is σ = 41965560. Its totient is φ = 3598848.

The previous prime is 13665053. The next prime is 13665083. The reversal of 13665060 is 6056631.

13665060 is a `hidden beast` number, since 1 + 3 + 6 + 650 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 181476 + 13483584 = 426^2 + 3672^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15594 + ... + 16446.

It is an arithmetic number, because the mean of its divisors is an integer number (582855).

Almost surely, 213665060 is an apocalyptic number.

13665060 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 13665060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20982780).

13665060 is an abundant number, since it is smaller than the sum of its proper divisors (28300500).

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

13665060 is a wasteful number, since it uses less digits than its factorization.

13665060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 13665060 is about 3696.6281933676. The cubic root of 13665060 is about 239.0766605735.

The spelling of 13665060 in words is "thirteen million, six hundred sixty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 356 445 534 801 853 890 1068 1335 1602 1706 1780 2559 2670 3204 3412 4005 4265 5118 5340 7677 8010 8530 10236 12795 15354 16020 17060 25590 30708 38385 51180 75917 76770 151834 153540 227751 303668 379585 455502 683253 759170 911004 1138755 1366506 1518340 2277510 2733012 3416265 4555020 6832530 13665060