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16440016 = 2419411319
BaseRepresentation
bin111110101101…
…101011010000
31010221020110111
4332231223100
513202040031
61344211104
7256511035
oct76555320
933836414
1016440016
11930969a
125609a94
133537c28
14227d38c
15169b1b1
hexfadad0

16440016 has 40 divisors (see below), whose sum is σ = 34372800. Its totient is φ = 7591680.

The previous prime is 16440007. The next prime is 16440019. The reversal of 16440016 is 61004461.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16440019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11805 + ... + 13123.

It is an arithmetic number, because the mean of its divisors is an integer number (859320).

Almost surely, 216440016 is an apocalyptic number.

16440016 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 16440016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17186400).

16440016 is an abundant number, since it is smaller than the sum of its proper divisors (17932784).

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

16440016 is a wasteful number, since it uses less digits than its factorization.

16440016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 16440016 is about 4054.6289595967. The cubic root of 16440016 is about 254.2732917264.

Adding to 16440016 its reverse (61004461), we get a palindrome (77444477).

The spelling of 16440016 in words is "sixteen million, four hundred forty thousand, sixteen".

Divisors: 1 2 4 8 16 19 38 41 76 82 152 164 304 328 656 779 1319 1558 2638 3116 5276 6232 10552 12464 21104 25061 50122 54079 100244 108158 200488 216316 400976 432632 865264 1027501 2055002 4110004 8220008 16440016