Search a number
-
+
564170240 = 295317109
BaseRepresentation
bin100001101000001…
…000111000000000
31110022120211002002
4201220020320000
52123411421430
6131552043132
716660240124
oct4150107000
91408524062
10564170240
1126a5064a7
12138b334a8
138cb6225a
1454cdb584
15347e1845
hex21a08e00

564170240 has 80 divisors (see below), whose sum is σ = 1396517760. Its totient is φ = 218357760.

The previous prime is 564170227. The next prime is 564170251. The reversal of 564170240 is 42071465.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75806 + ... + 82914.

It is an arithmetic number, because the mean of its divisors is an integer number (17456472).

Almost surely, 2564170240 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 564170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698258880).

564170240 is an abundant number, since it is smaller than the sum of its proper divisors (832347520).

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

564170240 is an equidigital number, since it uses as much as digits as its factorization.

564170240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7163 (or 7147 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 564170240 is about 23752.2681022255. The cubic root of 564170240 is about 826.2980435351.

The spelling of 564170240 in words is "five hundred sixty-four million, one hundred seventy thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 496 512 620 640 992 1240 1280 1984 2480 2560 3968 4960 7109 7936 9920 14218 15872 19840 28436 35545 39680 56872 71090 79360 113744 142180 220379 227488 284360 440758 454976 568720 881516 909952 1101895 1137440 1763032 1819904 2203790 2274880 3526064 3639808 4407580 4549760 7052128 8815160 9099520 14104256 17630320 18199040 28208512 35260640 56417024 70521280 112834048 141042560 282085120 564170240