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2168016 = 24331247
BaseRepresentation
bin1000010001010011010000
311002010221220
420101103100
51023334031
6114245040
724266514
oct10212320
94063856
102168016
111250954
12886780
135aba66
14406144
152cc596
hex2114d0

2168016 has 60 divisors (see below), whose sum is σ = 5910336. Its totient is φ = 684480.

The previous prime is 2168009. The next prime is 2168021. The reversal of 2168016 is 6108612.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46105 + ... + 46151.

22168016 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 2168016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955168).

2168016 is an abundant number, since it is smaller than the sum of its proper divisors (3742320).

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

2168016 is a wasteful number, since it uses less digits than its factorization.

2168016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 83 counting only the distinct ones).

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

The square root of 2168016 is about 1472.4184187927. The cubic root of 2168016 is about 129.4257909283.

The spelling of 2168016 in words is "two million, one hundred sixty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 47 48 62 93 94 124 141 186 188 248 282 372 376 496 564 744 752 961 1128 1457 1488 1922 2256 2883 2914 3844 4371 5766 5828 7688 8742 11532 11656 15376 17484 23064 23312 34968 45167 46128 69936 90334 135501 180668 271002 361336 542004 722672 1084008 2168016