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4143216 = 2437111959
BaseRepresentation
bin1111110011100001110000
321210111102110
433303201300
52030040331
6224445320
750134230
oct17634160
97714373
104143216
11237a950
121479840
13b20b0c
1479bcc0
1556c946
hex3f3870

4143216 has 160 divisors (see below), whose sum is σ = 14284800. Its totient is φ = 1002240.

The previous prime is 4143193. The next prime is 4143221. The reversal of 4143216 is 6123414.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 4143192 and 4143201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70195 + ... + 70253.

It is an arithmetic number, because the mean of its divisors is an integer number (89280).

Almost surely, 24143216 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 4143216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142400).

4143216 is an abundant number, since it is smaller than the sum of its proper divisors (10141584).

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

4143216 is a wasteful number, since it uses less digits than its factorization.

4143216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 101 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 4143216 is about 2035.4891304058. The cubic root of 4143216 is about 160.6124443748.

The spelling of 4143216 in words is "four million, one hundred forty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 33 38 42 44 48 56 57 59 66 76 77 84 88 112 114 118 132 133 152 154 168 176 177 209 228 231 236 264 266 304 308 336 354 399 413 418 456 462 472 528 532 616 627 649 708 798 826 836 912 924 944 1064 1121 1232 1239 1254 1298 1416 1463 1596 1652 1672 1848 1947 2128 2242 2478 2508 2596 2832 2926 3192 3304 3344 3363 3696 3894 4389 4484 4543 4956 5016 5192 5852 6384 6608 6726 7788 7847 8778 8968 9086 9912 10032 10384 11704 12331 13452 13629 15576 15694 17556 17936 18172 19824 23408 23541 24662 26904 27258 31152 31388 35112 36344 36993 47082 49324 53808 54516 62776 70224 72688 73986 86317 94164 98648 109032 125552 147972 172634 188328 197296 218064 258951 295944 345268 376656 517902 591888 690536 1035804 1381072 2071608 4143216