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6689568 = 253174099
BaseRepresentation
bin11001100001001100100000
3110120212100210
4121201030200
53203031233
6355214120
7110601054
oct31411440
913525323
106689568
113859a76
1222a7340
131502b32
14c61c64
158c2163
hex661320

6689568 has 48 divisors (see below), whose sum is σ = 18597600. Its totient is φ = 2098176.

The previous prime is 6689567. The next prime is 6689581. The reversal of 6689568 is 8659866.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6689561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 418 + ... + 3681.

It is an arithmetic number, because the mean of its divisors is an integer number (387450).

Almost surely, 26689568 is an apocalyptic number.

6689568 is a gapful number since it is divisible by the number (68) 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 6689568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9298800).

6689568 is an abundant number, since it is smaller than the sum of its proper divisors (11908032).

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

6689568 is a wasteful number, since it uses less digits than its factorization.

6689568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4129 (or 4121 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 6689568 is about 2586.4199195026. The cubic root of 6689568 is about 188.4224692708.

The spelling of 6689568 in words is "six million, six hundred eighty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 4099 8198 12297 16396 24594 32792 49188 65584 69683 98376 131168 139366 196752 209049 278732 393504 418098 557464 836196 1114928 1672392 2229856 3344784 6689568