Search a number
-
+
16128416 = 251941647
BaseRepresentation
bin111101100001…
…100110100000
31010100102000202
4331201212200
513112102131
61333404332
7254042423
oct75414640
933312022
1016128416
119116577
1254996a8
133459155
1421db9ba
151638bcb
hexf619a0

16128416 has 48 divisors (see below), whose sum is σ = 34292160. Its totient is φ = 7441920.

The previous prime is 16128407. The next prime is 16128419. The reversal of 16128416 is 61482161.

It is not an unprimeable number, because it can be changed into a prime (16128419) by changing a digit.

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, 24605 + ... + 25251.

It is an arithmetic number, because the mean of its divisors is an integer number (714420).

Almost surely, 216128416 is an apocalyptic number.

16128416 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 16128416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17146080).

16128416 is an abundant number, since it is smaller than the sum of its proper divisors (18163744).

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

16128416 is a wasteful number, since it uses less digits than its factorization.

16128416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 709 counting only the distinct ones).

The product of its digits is 2304, while the sum is 29.

The square root of 16128416 is about 4016.0199202693. The cubic root of 16128416 is about 252.6565561806.

The spelling of 16128416 in words is "sixteen million, one hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 41 76 82 152 164 304 328 608 647 656 779 1294 1312 1558 2588 3116 5176 6232 10352 12293 12464 20704 24586 24928 26527 49172 53054 98344 106108 196688 212216 393376 424432 504013 848864 1008026 2016052 4032104 8064208 16128416