Search a number
-
+
5564880 = 2432559131
BaseRepresentation
bin10101001110100111010000
3101110201120200
4111032213100
52411034010
6315135200
765205066
oct25164720
911421520
105564880
113160a82
121a44500
1311cac39
14a4c036
1574dcc0
hex54e9d0

5564880 has 120 divisors (see below), whose sum is σ = 19150560. Its totient is φ = 1447680.

The previous prime is 5564879. The next prime is 5564887. The reversal of 5564880 is 884655.

It is a happy number.

5564880 is a `hidden beast` number, since 5 + 5 + 648 + 8 + 0 = 666.

It is a Cunningham number, because it is equal to 23592-1.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×55648803 (a number of 21 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5564887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42415 + ... + 42545.

It is an arithmetic number, because the mean of its divisors is an integer number (159588).

Almost surely, 25564880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5564880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9575280).

5564880 is an abundant number, since it is smaller than the sum of its proper divisors (13585680).

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

5564880 is a wasteful number, since it uses less digits than its factorization.

5564880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5564880 is about 2358.9997880458. Note that the first 3 decimals coincide. The cubic root of 5564880 is about 177.2087931541.

The spelling of 5564880 in words is "five million, five hundred sixty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 59 60 72 80 90 118 120 131 144 177 180 236 240 262 295 354 360 393 472 524 531 590 655 708 720 786 885 944 1048 1062 1179 1180 1310 1416 1572 1770 1965 2096 2124 2358 2360 2620 2655 2832 3144 3540 3930 4248 4716 4720 5240 5310 5895 6288 7080 7729 7860 8496 9432 10480 10620 11790 14160 15458 15720 18864 21240 23187 23580 30916 31440 38645 42480 46374 47160 61832 69561 77290 92748 94320 115935 123664 139122 154580 185496 231870 278244 309160 347805 370992 463740 556488 618320 695610 927480 1112976 1391220 1854960 2782440 5564880