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4112064 = 263211259
BaseRepresentation
bin1111101011111011000000
321201220200200
433223323000
52023041224
6224045200
746644345
oct17537300
97656620
104112064
112359500
121463800
13b0c898
147907cc
155635c9
hex3ebec0

4112064 has 126 divisors (see below), whose sum is σ = 13174980. Its totient is φ = 1224960.

The previous prime is 4112063. The next prime is 4112083. The reversal of 4112064 is 4602114.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4112063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 69667 + ... + 69725.

Almost surely, 24112064 is an apocalyptic number.

4112064 is a gapful number since it is divisible by the number (44) 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 4112064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6587490).

4112064 is an abundant number, since it is smaller than the sum of its proper divisors (9062916).

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

4112064 is a wasteful number, since it uses less digits than its factorization.

4112064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4112064 is about 2027.8224774373. The cubic root of 4112064 is about 160.2088938191.

Adding to 4112064 its reverse (4602114), we get a palindrome (8714178).

The spelling of 4112064 in words is "four million, one hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 59 64 66 72 88 96 99 118 121 132 144 176 177 192 198 236 242 264 288 352 354 363 396 472 484 528 531 576 649 704 708 726 792 944 968 1056 1062 1089 1298 1416 1452 1584 1888 1936 1947 2112 2124 2178 2596 2832 2904 3168 3776 3872 3894 4248 4356 5192 5664 5808 5841 6336 7139 7744 7788 8496 8712 10384 11328 11616 11682 14278 15576 16992 17424 20768 21417 23232 23364 28556 31152 33984 34848 41536 42834 46728 57112 62304 64251 69696 85668 93456 114224 124608 128502 171336 186912 228448 257004 342672 373824 456896 514008 685344 1028016 1370688 2056032 4112064