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13655340 = 22325107709
BaseRepresentation
bin110100000101…
…110100101100
3221200202121100
4310011310230
511443432330
61204403100
7224032326
oct64056454
927622540
1013655340
117787506
1246a6490
132aa15aa
141b56616
1512eb060
hexd05d2c

13655340 has 72 divisors (see below), whose sum is σ = 41867280. Its totient is φ = 3602304.

The previous prime is 13655311. The next prime is 13655347. The reversal of 13655340 is 4355631.

13655340 is a `hidden beast` number, since 1 + 3 + 655 + 3 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (13655347) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18906 + ... + 19614.

It is an arithmetic number, because the mean of its divisors is an integer number (581490).

Almost surely, 213655340 is an apocalyptic number.

13655340 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 13655340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20933640).

13655340 is an abundant number, since it is smaller than the sum of its proper divisors (28211940).

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

13655340 is a wasteful number, since it uses less digits than its factorization.

13655340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 13655340 is about 3695.3132478858. The cubic root of 13655340 is about 239.0199618021.

The spelling of 13655340 in words is "thirteen million, six hundred fifty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 709 963 1070 1284 1418 1605 1926 2127 2140 2836 3210 3545 3852 4254 4815 6381 6420 7090 8508 9630 10635 12762 14180 19260 21270 25524 31905 42540 63810 75863 127620 151726 227589 303452 379315 455178 682767 758630 910356 1137945 1365534 1517260 2275890 2731068 3413835 4551780 6827670 13655340