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13982508 = 2232388403
BaseRepresentation
bin110101010101…
…101100101100
3222022101101200
4311111230230
512034420013
61215405500
7226564221
oct65255454
928271350
1013982508
1179902a1
124823890
132b87497
141bdd948
151362e73
hexd55b2c

13982508 has 18 divisors (see below), whose sum is σ = 35344764. Its totient is φ = 4660824.

The previous prime is 13982503. The next prime is 13982509. The reversal of 13982508 is 80528931.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 388403 = 13982508 / (1 + 3 + 9 + 8 + 2 + 5 + 0 + 8).

It is not an unprimeable number, because it can be changed into a prime (13982503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 194166 + ... + 194237.

It is an arithmetic number, because the mean of its divisors is an integer number (1963598).

Almost surely, 213982508 is an apocalyptic number.

13982508 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13982508 is an abundant number, since it is smaller than the sum of its proper divisors (21362256).

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

13982508 is a wasteful number, since it uses less digits than its factorization.

13982508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388413 (or 388408 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 13982508 is about 3739.3191893712. The cubic root of 13982508 is about 240.9138078971.

The spelling of 13982508 in words is "thirteen million, nine hundred eighty-two thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 388403 776806 1165209 1553612 2330418 3495627 4660836 6991254 13982508