[go: up one dir, main page]

Search a number
-
+
566161920 = 293358191
BaseRepresentation
bin100001101111101…
…111001000000000
31110110100000011000
4201233233020000
52124414140140
6132102452000
720013203562
oct4157571000
91413300130
10566161920
11270646915
12139734000
13903ab96c
1455299332
1534a86a30
hex21bef200

566161920 has 160 divisors (see below), whose sum is σ = 2011299840. Its totient is φ = 150958080.

The previous prime is 566161913. The next prime is 566161933. The reversal of 566161920 is 29161665.

566161920 is a `hidden beast` number, since 5 + 6 + 616 + 19 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

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

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 15 ways as a sum of consecutive naturals, for example, 65025 + ... + 73215.

It is an arithmetic number, because the mean of its divisors is an integer number (12570624).

Almost surely, 2566161920 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 566161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005649920).

566161920 is an abundant number, since it is smaller than the sum of its proper divisors (1445137920).

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

566161920 is an equidigital number, since it uses as much as digits as its factorization.

566161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8223 (or 8201 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 566161920 is about 23794.1572660181. The cubic root of 566161920 is about 827.2692565604.

The spelling of 566161920 in words is "five hundred sixty-six million, one hundred sixty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3456 3840 4320 4608 5760 6912 7680 8191 8640 11520 13824 16382 17280 23040 24573 32764 34560 40955 49146 65528 69120 73719 81910 98292 122865 131056 147438 163820 196584 221157 245730 262112 294876 327640 368595 393168 442314 491460 524224 589752 655280 737190 786336 884628 982920 1048448 1105785 1179504 1310560 1474380 1572672 1769256 1965840 2096896 2211570 2359008 2621120 2948760 3145344 3538512 3931680 4193792 4423140 4718016 5242240 5897520 6290688 7077024 7863360 8846280 9436032 10484480 11795040 12581376 14154048 15726720 17692560 18872064 20968960 23590080 28308096 31453440 35385120 37744128 47180160 56616192 62906880 70770240 94360320 113232384 141540480 188720640 283080960 566161920