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14069664 = 253272997
BaseRepresentation
bin110101101010…
…111110100000
3222110210221200
4311222332200
512100212124
61221321200
7230406300
oct65527640
928423850
1014069664
117a3a824
124866200
132bb805b
141c23600
15137dbc9
hexd6afa0

14069664 has 108 divisors (see below), whose sum is σ = 46589634. Its totient is φ = 4015872.

The previous prime is 14069651. The next prime is 14069681. The reversal of 14069664 is 46696041.

It can be written as a sum of positive squares in only one way, i.e., 9659664 + 4410000 = 3108^2 + 2100^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 13614 + ... + 14610.

Almost surely, 214069664 is an apocalyptic number.

14069664 is a gapful number since it is divisible by the number (14) 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 14069664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23294817).

14069664 is an abundant number, since it is smaller than the sum of its proper divisors (32519970).

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

14069664 is a wasteful number, since it uses less digits than its factorization.

14069664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 14069664 is about 3750.9550783767. The cubic root of 14069664 is about 241.4133274357.

The spelling of 14069664 in words is "fourteen million, sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 997 1008 1176 1568 1764 1994 2016 2352 2991 3528 3988 4704 5982 6979 7056 7976 8973 11964 13958 14112 15952 17946 20937 23928 27916 31904 35892 41874 47856 48853 55832 62811 71784 83748 95712 97706 111664 125622 143568 146559 167496 195412 223328 251244 287136 293118 334992 390824 439677 502488 586236 669984 781648 879354 1004976 1172472 1563296 1758708 2009952 2344944 3517416 4689888 7034832 14069664