Search a number
-
+
5668704 = 25311
BaseRepresentation
bin10101100111111101100000
3101200000000000
4111213331200
52422344304
6321300000
766116556
oct25477540
911600000
105668704
113221a88
121a94600
131236282
14a77bd6
1576e939
hex567f60

5668704 has 72 divisors (see below), whose sum is σ = 16740360. Its totient is φ = 1889568.

The previous prime is 5668699. The next prime is 5668727. The reversal of 5668704 is 4078665.

5668704 divided by its sum of digits (36) gives a cube (157464 = 543).

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1889567 + 1889568 + 1889569.

It is an arithmetic number, because the mean of its divisors is an integer number (232505).

Almost surely, 25668704 is an apocalyptic number.

5668704 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 5668704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8370180).

5668704 is an abundant number, since it is smaller than the sum of its proper divisors (11071656).

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

5668704 is an frugal number, since it uses more digits than its factorization.

5668704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5668704 is about 2380.9040299852. The cubic root of 5668704 is about 178.3040714403.

The spelling of 5668704 in words is "five million, six hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2187 2592 2916 3888 4374 5832 6561 7776 8748 11664 13122 17496 19683 23328 26244 34992 39366 52488 59049 69984 78732 104976 118098 157464 177147 209952 236196 314928 354294 472392 629856 708588 944784 1417176 1889568 2834352 5668704