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16030016 = 26412149
BaseRepresentation
bin111101001001…
…100101000000
31010011102001022
4331021211000
513100430031
61331325012
7253152512
oct75114500
933142038
1016030016
119059652
125450768
133423422
1421b3bb2
15161997b
hexf49940

16030016 has 42 divisors (see below), whose sum is σ = 32823150. Its totient is φ = 7767040.

The previous prime is 16029973. The next prime is 16030019. The reversal of 16030016 is 61003061.

It can be written as a sum of positive squares in 3 ways, for example, as 2310400 + 13719616 = 1520^2 + 3704^2 .

It is a super-2 number, since 2×160300162 = 513922825920512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16029976 and 16030003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16030019) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 107510 + ... + 107658.

Almost surely, 216030016 is an apocalyptic number.

16030016 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 16030016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16411575).

16030016 is an abundant number, since it is smaller than the sum of its proper divisors (16793134).

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

16030016 is an equidigital number, since it uses as much as digits as its factorization.

16030016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 16030016 is about 4003.7502419607. The cubic root of 16030016 is about 252.1416856712.

Adding to 16030016 its reverse (61003061), we get a palindrome (77033077).

The spelling of 16030016 in words is "sixteen million, thirty thousand, sixteen".

Divisors: 1 2 4 8 16 32 41 64 82 149 164 298 328 596 656 1192 1312 1681 2384 2624 3362 4768 6109 6724 9536 12218 13448 24436 26896 48872 53792 97744 107584 195488 250469 390976 500938 1001876 2003752 4007504 8015008 16030016