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13982544 = 243410789
BaseRepresentation
bin110101010101…
…101101010000
3222022101110000
4311111231100
512034420134
61215410000
7226564302
oct65255520
928271400
1013982544
117990324
124823900
132b874c4
141bdd972
151362e99
hexd55b50

13982544 has 50 divisors (see below), whose sum is σ = 40473290. Its totient is φ = 4660416.

The previous prime is 13982543. The next prime is 13982557. The reversal of 13982544 is 44528931.

13982544 is a `hidden beast` number, since 1 + 39 + 82 + 544 = 666.

13982544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11696400 + 2286144 = 3420^2 + 1512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13982499 and 13982508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13982543) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4099 + ... + 6690.

Almost surely, 213982544 is an apocalyptic number.

It is an amenable number.

13982544 is an abundant number, since it is smaller than the sum of its proper divisors (26490746).

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

13982544 is a wasteful number, since it uses less digits than its factorization.

13982544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10809 (or 10794 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 13982544 is about 3739.3240030786. The cubic root of 13982544 is about 240.9140146528.

The spelling of 13982544 in words is "thirteen million, nine hundred eighty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 10789 21578 32367 43156 64734 86312 97101 129468 172624 194202 258936 291303 388404 517872 582606 776808 873909 1165212 1553616 1747818 2330424 3495636 4660848 6991272 13982544