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16500016 = 2413233449
BaseRepresentation
bin111110111100…
…010100110000
31011001021202201
4332330110300
513211000031
61345352544
7260151001
oct76742460
934037681
1016500016
11934a785
125638754
133559330
1422971a8
1516add61
hexfbc530

16500016 has 40 divisors (see below), whose sum is σ = 35935200. Its totient is φ = 7282176.

The previous prime is 16500007. The next prime is 16500017. The reversal of 16500016 is 61000561.

It is a junction number, because it is equal to n+sod(n) for n = 16499966 and 16500002.

It is not an unprimeable number, because it can be changed into a prime (16500017) 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 7 ways as a sum of consecutive naturals, for example, 3060 + ... + 6508.

It is an arithmetic number, because the mean of its divisors is an integer number (898380).

Almost surely, 216500016 is an apocalyptic number.

16500016 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 16500016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17967600).

16500016 is an abundant number, since it is smaller than the sum of its proper divisors (19435184).

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

16500016 is a wasteful number, since it uses less digits than its factorization.

16500016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 16500016 is about 4062.0211717814. The cubic root of 16500016 is about 254.5822507721.

Adding to 16500016 its reverse (61000561), we get a palindrome (77500577).

The spelling of 16500016 in words is "sixteen million, five hundred thousand, sixteen".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 598 1196 2392 3449 4784 6898 13796 27592 44837 55184 79327 89674 158654 179348 317308 358696 634616 717392 1031251 1269232 2062502 4125004 8250008 16500016