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16142628 = 22319101701
BaseRepresentation
bin111101100101…
…000100100100
31010101010112010
4331211010210
513113031003
61333554220
7254132025
oct75450444
933333463
1016142628
119126217
1254a5970
133462768
142202c4c
15163d003
hexf65124

16142628 has 48 divisors (see below), whose sum is σ = 40098240. Its totient is φ = 5040000.

The previous prime is 16142617. The next prime is 16142629. The reversal of 16142628 is 82624161.

It is a junction number, because it is equal to n+sod(n) for n = 16142595 and 16142604.

It is not an unprimeable number, because it can be changed into a prime (16142629) 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 15 ways as a sum of consecutive naturals, for example, 22678 + ... + 23378.

It is an arithmetic number, because the mean of its divisors is an integer number (835380).

Almost surely, 216142628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16142628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049120).

16142628 is an abundant number, since it is smaller than the sum of its proper divisors (23955612).

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

16142628 is a wasteful number, since it uses less digits than its factorization.

16142628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 826 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 16142628 is about 4017.7889441831. The cubic root of 16142628 is about 252.7307461650.

Adding to 16142628 its reverse (82624161), we get a palindrome (98766789).

The spelling of 16142628 in words is "sixteen million, one hundred forty-two thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 101 114 202 228 303 404 606 701 1212 1402 1919 2103 2804 3838 4206 5757 7676 8412 11514 13319 23028 26638 39957 53276 70801 79914 141602 159828 212403 283204 424806 849612 1345219 2690438 4035657 5380876 8071314 16142628