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16687368 = 2332534373
BaseRepresentation
bin111111101010…
…000100001000
31011101210202200
4333222010020
513232443433
61353400200
7261561135
oct77520410
934353680
1016687368
119468515
125709060
1335c36a9
14230558c
1516e9613
hexfea108

16687368 has 48 divisors (see below), whose sum is σ = 46058220. Its totient is φ = 5456256.

The previous prime is 16687337. The next prime is 16687381. The reversal of 16687368 is 86378661.

It can be written as a sum of positive squares in 2 ways, for example, as 16305444 + 381924 = 4038^2 + 618^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1630 + ... + 6002.

Almost surely, 216687368 is an apocalyptic number.

16687368 is a gapful number since it is divisible by the number (18) 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 16687368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23029110).

16687368 is an abundant number, since it is smaller than the sum of its proper divisors (29370852).

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

16687368 is a wasteful number, since it uses less digits than its factorization.

16687368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4438 (or 4431 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 16687368 is about 4085.0175030225. The cubic root of 16687368 is about 255.5421912216.

The spelling of 16687368 in words is "sixteen million, six hundred eighty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 4373 8746 13119 17492 26238 34984 39357 52476 78714 104952 157428 231769 314856 463538 695307 927076 1390614 1854152 2085921 2781228 4171842 5562456 8343684 16687368