Search a number
-
+
894604320 = 253252327011
BaseRepresentation
bin110101010100101…
…001010000100000
32022100100121102100
4311110221100200
53313004314240
6224434250400
731112003601
oct6524512040
92270317370
10894604320
11419a87515
1220b726a00
1311345778c
1486b53da8
1553812e30
hex35529420

894604320 has 144 divisors (see below), whose sum is σ = 3185687232. Its totient is φ = 228180480.

The previous prime is 894604313. The next prime is 894604327. The reversal of 894604320 is 23406498.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (894604313) and next prime (894604327).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (894604327) 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, 19615 + ... + 46625.

It is an arithmetic number, because the mean of its divisors is an integer number (22122828).

Almost surely, 2894604320 is an apocalyptic number.

894604320 is a gapful number since it is divisible by the number (80) 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 894604320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592843616).

894604320 is an abundant number, since it is smaller than the sum of its proper divisors (2291082912).

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

894604320 is a wasteful number, since it uses less digits than its factorization.

894604320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27055 (or 27044 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 894604320 is about 29909.9368103645. The cubic root of 894604320 is about 963.5560819447.

The spelling of 894604320 in words is "eight hundred ninety-four million, six hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 828 920 1035 1104 1380 1440 1656 1840 2070 2208 2760 3312 3680 4140 5520 6624 8280 11040 16560 27011 33120 54022 81033 108044 135055 162066 216088 243099 270110 324132 405165 432176 486198 540220 621253 648264 810330 864352 972396 1080440 1215495 1242506 1296528 1620660 1863759 1944792 2160880 2430990 2485012 2593056 3106265 3241320 3727518 3889584 4321760 4861980 4970024 5591277 6212530 6482640 7455036 7779168 9318795 9723960 9940048 11182554 12425060 12965280 14910072 18637590 19447920 19880096 22365108 24850120 27956385 29820144 37275180 38895840 44730216 49700240 55912770 59640288 74550360 89460432 99400480 111825540 149100720 178920864 223651080 298201440 447302160 894604320