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2160816 = 243759109
BaseRepresentation
bin1000001111100010110000
311001210002020
420033202300
51023121231
6114151440
724236520
oct10174260
94053066
102160816
1112464a9
12882580
135a86b8
14403680
152ca396
hex20f8b0

2160816 has 80 divisors (see below), whose sum is σ = 6547200. Its totient is φ = 601344.

The previous prime is 2160797. The next prime is 2160833. The reversal of 2160816 is 6180612.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19770 + ... + 19878.

It is an arithmetic number, because the mean of its divisors is an integer number (81840).

22160816 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 2160816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273600).

2160816 is an abundant number, since it is smaller than the sum of its proper divisors (4386384).

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

2160816 is a wasteful number, since it uses less digits than its factorization.

2160816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2160816 is about 1469.9714282938. The cubic root of 2160816 is about 129.2823573035.

The spelling of 2160816 in words is "two million, one hundred sixty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 109 112 118 168 177 218 236 327 336 354 413 436 472 654 708 763 826 872 944 1239 1308 1416 1526 1652 1744 2289 2478 2616 2832 3052 3304 4578 4956 5232 6104 6431 6608 9156 9912 12208 12862 18312 19293 19824 25724 36624 38586 45017 51448 77172 90034 102896 135051 154344 180068 270102 308688 360136 540204 720272 1080408 2160816