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16103984 = 2413139557
BaseRepresentation
bin111101011011…
…101000110000
31010022011111212
4331123220300
513110311414
61333055252
7253611251
oct75335060
933264455
1016103984
1190aa186
125487528
13344acb0
1421d2b28
15163183e
hexf5ba30

16103984 has 40 divisors (see below), whose sum is σ = 33904080. Its totient is φ = 7365888.

The previous prime is 16103959. The next prime is 16104013. The reversal of 16103984 is 48930161.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 16103984.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 28634 + ... + 29190.

It is an arithmetic number, because the mean of its divisors is an integer number (847602).

Almost surely, 216103984 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 16103984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16952040).

16103984 is an abundant number, since it is smaller than the sum of its proper divisors (17800096).

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

16103984 is a wasteful number, since it uses less digits than its factorization.

16103984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 16103984 is about 4012.9769498466. The cubic root of 16103984 is about 252.5289134619.

The spelling of 16103984 in words is "sixteen million, one hundred three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 52 104 139 208 278 556 557 1112 1114 1807 2224 2228 3614 4456 7228 7241 8912 14456 14482 28912 28964 57928 77423 115856 154846 309692 619384 1006499 1238768 2012998 4025996 8051992 16103984