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5206332320 = 255725711163
BaseRepresentation
bin1001101100101001…
…00101001110100000
3111102211122002021222
410312110211032200
541130310113240
62220341434212
7243006044300
oct46624451640
914384562258
105206332320
112231925592
12101370b968
1364c822217
14375651600
15207111eb5
hex1365253a0

5206332320 has 144 divisors (see below), whose sum is σ = 14345499168. Its totient is φ = 1780369920.

The previous prime is 5206332319. The next prime is 5206332337. The reversal of 5206332320 is 232336025.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5206332320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4476059 + ... + 4477221.

It is an arithmetic number, because the mean of its divisors is an integer number (99621522).

Almost surely, 25206332320 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 5206332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7172749584).

5206332320 is an abundant number, since it is smaller than the sum of its proper divisors (9139166848).

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

5206332320 is a wasteful number, since it uses less digits than its factorization.

5206332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 26.

The square root of 5206332320 is about 72154.9188898442. The cubic root of 5206332320 is about 1733.1811694169.

Adding to 5206332320 its reverse (232336025), we get a palindrome (5438668345).

The spelling of 5206332320 in words is "five billion, two hundred six million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 571 784 980 1120 1142 1163 1568 1960 2284 2326 2855 3920 3997 4568 4652 5710 5815 7840 7994 8141 9136 9304 11420 11630 15988 16282 18272 18608 19985 22840 23260 27979 31976 32564 37216 39970 40705 45680 46520 55958 56987 63952 65128 79940 81410 91360 93040 111916 113974 127904 130256 139895 159880 162820 186080 223832 227948 260512 279790 284935 319760 325640 447664 455896 559580 569870 639520 651280 664073 895328 911792 1119160 1139740 1302560 1328146 1823584 2238320 2279480 2656292 3320365 4476640 4558960 4648511 5312584 6640730 9117920 9297022 10625168 13281460 18594044 21250336 23242555 26562920 32539577 37188088 46485110 53125840 65079154 74376176 92970220 106251680 130158308 148752352 162697885 185940440 260316616 325395770 371880880 520633232 650791540 743761760 1041266464 1301583080 2603166160 5206332320