Search a number
-
+
5566320 = 24345859
BaseRepresentation
bin10101001110111101110000
3101110210120000
4111032331300
52411110240
6315150000
765212224
oct25167560
911423500
105566320
113162071
121a45300
1311cb7a6
14a4c784
1574e430
hex54ef70

5566320 has 100 divisors (see below), whose sum is σ = 19355160. Its totient is φ = 1482624.

The previous prime is 5566291. The next prime is 5566331. The reversal of 5566320 is 236655.

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

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 19 ways as a sum of consecutive naturals, for example, 6051 + ... + 6909.

Almost surely, 25566320 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 5566320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9677580).

5566320 is an abundant number, since it is smaller than the sum of its proper divisors (13788840).

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

5566320 is a wasteful number, since it uses less digits than its factorization.

5566320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 5566320 is about 2359.3049824048. The cubic root of 5566320 is about 177.2240770209.

It can be divided in two parts, 5566 and 320, that added together give a triangular number (5886 = T108).

The spelling of 5566320 in words is "five million, five hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 859 1080 1296 1620 1718 2160 2577 3240 3436 4295 5154 6480 6872 7731 8590 10308 12885 13744 15462 17180 20616 23193 25770 30924 34360 38655 41232 46386 51540 61848 68720 69579 77310 92772 103080 115965 123696 139158 154620 185544 206160 231930 278316 309240 347895 371088 463860 556632 618480 695790 927720 1113264 1391580 1855440 2783160 5566320