Search a number
-
+
256041360 = 243251991787
BaseRepresentation
bin11110100001011…
…10000110010000
3122211210020201100
433100232012100
51011021310420
641223504400
76226213161
oct1720560620
9584706640
10256041360
1112158a733
12718b8100
1341079483
142600d768
1517729190
hexf42e190

256041360 has 120 divisors (see below), whose sum is σ = 864676800. Its totient is φ = 67896576.

The previous prime is 256041353. The next prime is 256041367. The reversal of 256041360 is 63140652.

256041360 is a `hidden beast` number, since 2 + 560 + 41 + 3 + 60 = 666.

256041360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (256041353) and next prime (256041367).

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

It is not an unprimeable number, because it can be changed into a prime (256041367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142387 + ... + 144173.

It is an arithmetic number, because the mean of its divisors is an integer number (7205640).

Almost surely, 2256041360 is an apocalyptic number.

256041360 is a gapful number since it is divisible by the number (20) 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 256041360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432338400).

256041360 is an abundant number, since it is smaller than the sum of its proper divisors (608635440).

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

256041360 is a wasteful number, since it uses less digits than its factorization.

256041360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 256041360 is about 16001.2924477993. The cubic root of 256041360 is about 634.9946142102.

The spelling of 256041360 in words is "two hundred fifty-six million, forty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 199 240 360 398 597 720 796 995 1194 1592 1787 1791 1990 2388 2985 3184 3574 3582 3980 4776 5361 5970 7148 7164 7960 8935 8955 9552 10722 11940 14296 14328 15920 16083 17870 17910 21444 23880 26805 28592 28656 32166 35740 35820 42888 47760 53610 64332 71480 71640 80415 85776 107220 128664 142960 143280 160830 214440 257328 321660 355613 428880 643320 711226 1066839 1286640 1422452 1778065 2133678 2844904 3200517 3556130 4267356 5334195 5689808 6401034 7112260 8534712 10668390 12802068 14224520 16002585 17069424 21336780 25604136 28449040 32005170 42673560 51208272 64010340 85347120 128020680 256041360