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5606064 = 243319683
BaseRepresentation
bin10101011000101010110000
3101112211002000
4111120222300
52413343224
6320054000
765436132
oct25305260
911484060
105606064
113189a12
121a64300
1312138c9
14a5d052
1575b0c9
hex558ab0

5606064 has 80 divisors (see below), whose sum is σ = 16963200. Its totient is φ = 1767744.

The previous prime is 5606057. The next prime is 5606093. The reversal of 5606064 is 4606065.

5606064 is a `hidden beast` number, since 56 + 0 + 606 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7867 + ... + 8549.

It is an arithmetic number, because the mean of its divisors is an integer number (212040).

Almost surely, 25606064 is an apocalyptic number.

5606064 is a gapful number since it is divisible by the number (54) 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 5606064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8481600).

5606064 is an abundant number, since it is smaller than the sum of its proper divisors (11357136).

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

5606064 is a wasteful number, since it uses less digits than its factorization.

5606064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5606064 is about 2367.7128204240. The cubic root of 5606064 is about 177.6448754387.

Subtracting from 5606064 its reverse (4606065), we obtain a palindrome (999999).

The spelling of 5606064 in words is "five million, six hundred six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 683 684 912 1026 1366 1368 2049 2052 2732 2736 4098 4104 5464 6147 8196 8208 10928 12294 12977 16392 18441 24588 25954 32784 36882 38931 49176 51908 73764 77862 98352 103816 116793 147528 155724 207632 233586 295056 311448 350379 467172 622896 700758 934344 1401516 1868688 2803032 5606064