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13818928 = 2419131347
BaseRepresentation
bin110100101101…
…110000110000
3222000002000011
4310231300300
512014201203
61212104304
7225313264
oct64556060
928002004
1013818928
117889402
124765094
132b2aba6
141b9a0a4
15132e76d
hexd2dc30

13818928 has 40 divisors (see below), whose sum is σ = 28480320. Its totient is φ = 6477120.

The previous prime is 13818913. The next prime is 13818967. The reversal of 13818928 is 82981831.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 39651 + ... + 39997.

It is an arithmetic number, because the mean of its divisors is an integer number (712008).

Almost surely, 213818928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13818928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14240160).

13818928 is an abundant number, since it is smaller than the sum of its proper divisors (14661392).

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

13818928 is a wasteful number, since it uses less digits than its factorization.

13818928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 499 counting only the distinct ones).

The product of its digits is 27648, while the sum is 40.

The square root of 13818928 is about 3717.3818743842. The cubic root of 13818928 is about 239.9706445577.

The spelling of 13818928 in words is "thirteen million, eight hundred eighteen thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 19 38 76 131 152 262 304 347 524 694 1048 1388 2096 2489 2776 4978 5552 6593 9956 13186 19912 26372 39824 45457 52744 90914 105488 181828 363656 727312 863683 1727366 3454732 6909464 13818928