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16007628 = 223713107137
BaseRepresentation
bin111101000100…
…000111001100
31010010021100010
4331010013030
513044221003
61331033220
7253030320
oct75040714
933107303
1016007628
11904384a
12543b810
133416190
1421a9980
151613003
hexf441cc

16007628 has 96 divisors (see below), whose sum is σ = 46738944. Its totient is φ = 4151808.

The previous prime is 16007627. The next prime is 16007639. The reversal of 16007628 is 82670061.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 16007595 and 16007604.

It is not an unprimeable number, because it can be changed into a prime (16007627) 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 31 ways as a sum of consecutive naturals, for example, 116776 + ... + 116912.

It is an arithmetic number, because the mean of its divisors is an integer number (486864).

Almost surely, 216007628 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 16007628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23369472).

16007628 is an abundant number, since it is smaller than the sum of its proper divisors (30731316).

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

16007628 is a wasteful number, since it uses less digits than its factorization.

16007628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 16007628 is about 4000.9533863818. The cubic root of 16007628 is about 252.0242481076.

Adding to 16007628 its reverse (82670061), we get a palindrome (98677689).

The spelling of 16007628 in words is "sixteen million, seven thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 107 137 156 182 214 273 274 321 364 411 428 546 548 642 749 822 959 1092 1284 1391 1498 1644 1781 1918 2247 2782 2877 2996 3562 3836 4173 4494 5343 5564 5754 7124 8346 8988 9737 10686 11508 12467 14659 16692 19474 21372 24934 29211 29318 37401 38948 43977 49868 58422 58636 74802 87954 102613 116844 149604 175908 190567 205226 307839 381134 410452 571701 615678 762268 1143402 1231356 1333969 2286804 2667938 4001907 5335876 8003814 16007628