Search a number
-
+
5352323040 = 2532513612731
BaseRepresentation
bin1001111110000010…
…11111011111100000
3111211000100011220200
410333001133133200
541430143314130
62243034505200
7246430665231
oct47701373740
914730304820
105352323040
1122a7279579
121054595200
13673b4926c
1438abb5088
15214d4d760
hex13f05f7e0

5352323040 has 144 divisors (see below), whose sum is σ = 18284915376. Its totient is φ = 1425715200.

The previous prime is 5352323033. The next prime is 5352323051. The reversal of 5352323040 is 403232535.

5352323040 is a `hidden beast` number, since 5 + 352 + 3 + 2 + 304 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5352322995 and 5352323013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1958475 + ... + 1961205.

It is an arithmetic number, because the mean of its divisors is an integer number (126978579).

Almost surely, 25352323040 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 5352323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9142457688).

5352323040 is an abundant number, since it is smaller than the sum of its proper divisors (12932592336).

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

5352323040 is a wasteful number, since it uses less digits than its factorization.

5352323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4113 (or 4102 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 5352323040 is about 73159.5724427091. The cubic root of 5352323040 is about 1749.2321028251.

Adding to 5352323040 its reverse (403232535), we get a palindrome (5755555575).

The spelling of 5352323040 in words is "five billion, three hundred fifty-two million, three hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1361 1440 2722 2731 4083 5444 5462 6805 8166 8193 10888 10924 12249 13610 13655 16332 16386 20415 21776 21848 24498 24579 27220 27310 32664 32772 40830 40965 43552 43696 48996 49158 54440 54620 61245 65328 65544 81660 81930 87392 97992 98316 108880 109240 122490 122895 130656 131088 163320 163860 195984 196632 217760 218480 244980 245790 262176 326640 327720 391968 393264 436960 489960 491580 653280 655440 786528 979920 983160 1310880 1959840 1966320 3716891 3932640 7433782 11150673 14867564 18584455 22301346 29735128 33452019 37168910 44602692 55753365 59470256 66904038 74337820 89205384 111506730 118940512 133808076 148675640 167260095 178410768 223013460 267616152 297351280 334520190 356821536 446026920 535232304 594702560 669040380 892053840 1070464608 1338080760 1784107680 2676161520 5352323040