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2168320 = 2957112
BaseRepresentation
bin1000010001011000000000
311002011101011
420101120000
51023341240
6114250304
724300430
oct10213000
94064334
102168320
111251100
12886994
135abc3b
144062c0
152cc6ea
hex211600

2168320 has 120 divisors (see below), whose sum is σ = 6530832. Its totient is φ = 675840.

The previous prime is 2168317. The next prime is 2168323. The reversal of 2168320 is 238612.

2168320 = T141 + T142 + ... + T250.

2168320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2168317) and next prime (2168323).

It is a super-2 number, since 2×21683202 = 9403223244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2168291 and 2168300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2168323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197115 + ... + 197125.

22168320 is an apocalyptic number.

2168320 is a gapful number since it is divisible by the number (20) 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 2168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265416).

2168320 is an abundant number, since it is smaller than the sum of its proper divisors (4362512).

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

2168320 is an equidigital number, since it uses as much as digits as its factorization.

2168320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 2168320 is about 1472.5216467000. The cubic root of 2168320 is about 129.4318400229.

The spelling of 2168320 in words is "two million, one hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 121 128 140 154 160 176 220 224 242 256 280 308 320 352 385 440 448 484 512 560 605 616 640 704 770 847 880 896 968 1120 1210 1232 1280 1408 1540 1694 1760 1792 1936 2240 2420 2464 2560 2816 3080 3388 3520 3584 3872 4235 4480 4840 4928 5632 6160 6776 7040 7744 8470 8960 9680 9856 12320 13552 14080 15488 16940 17920 19360 19712 24640 27104 28160 30976 33880 38720 39424 49280 54208 61952 67760 77440 98560 108416 135520 154880 197120 216832 271040 309760 433664 542080 1084160 2168320