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16772096 = 210111489
BaseRepresentation
bin111111111110…
…110000000000
31011120002222202
4333332300000
513243201341
61355252332
7262363145
oct77766000
934502882
1016772096
119516140
12574a0a8
133623123
1423283cc
15171479b
hexffec00

16772096 has 44 divisors (see below), whose sum is σ = 36600360. Its totient is φ = 7618560.

The previous prime is 16772057. The next prime is 16772099. The reversal of 16772096 is 69027761.

It is a tau number, because it is divible by the number of its divisors (44).

It is a nialpdrome in base 8 and base 16.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (16772099) 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 3 ways as a sum of consecutive naturals, for example, 10520 + ... + 12008.

Almost surely, 216772096 is an apocalyptic number.

16772096 is a gapful number since it is divisible by the number (16) 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 16772096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18300180).

16772096 is an abundant number, since it is smaller than the sum of its proper divisors (19828264).

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

16772096 is a wasteful number, since it uses less digits than its factorization.

16772096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 16772096 is about 4095.3749523090. The cubic root of 16772096 is about 255.9739556838.

It can be divided in two parts, 1677 and 2096, that added together give a palindrome (3773).

The spelling of 16772096 in words is "sixteen million, seven hundred seventy-two thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 1489 2816 2978 5632 5956 11264 11912 16379 23824 32758 47648 65516 95296 131032 190592 262064 381184 524128 762368 1048256 1524736 2096512 4193024 8386048 16772096