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5346521040 = 2435727711489
BaseRepresentation
bin1001111101010110…
…10110111111010000
3111210121102102001210
410332223112333100
541422202133130
62242310300120
7246330451620
oct47653267720
914717372053
105346521040
1122a3a76433
121052657640
13672897423
1438a104880
152145a45b0
hex13ead6fd0

5346521040 has 160 divisors (see below), whose sum is σ = 19011997440. Its totient is φ = 1217544192.

The previous prime is 5346521027. The next prime is 5346521077. The reversal of 5346521040 is 401256435.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5346520989 and 5346521007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459616 + ... + 471104.

It is an arithmetic number, because the mean of its divisors is an integer number (118824984).

Almost surely, 25346521040 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 5346521040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9505998720).

5346521040 is an abundant number, since it is smaller than the sum of its proper divisors (13665476400).

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

5346521040 is a wasteful number, since it uses less digits than its factorization.

5346521040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11789 (or 11783 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5346521040 is about 73119.9086432690. The cubic root of 5346521040 is about 1748.5998095178.

Adding to 5346521040 its reverse (401256435), we get a palindrome (5747777475).

The spelling of 5346521040 in words is "five billion, three hundred forty-six million, five hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 277 280 336 420 554 560 831 840 1108 1385 1662 1680 1939 2216 2770 3324 3878 4155 4432 5540 5817 6648 7756 8310 9695 11080 11489 11634 13296 15512 16620 19390 22160 22978 23268 29085 31024 33240 34467 38780 45956 46536 57445 58170 66480 68934 77560 80423 91912 93072 114890 116340 137868 155120 160846 172335 183824 229780 232680 241269 275736 321692 344670 402115 459560 465360 482538 551472 643384 689340 804230 919120 965076 1206345 1286768 1378680 1608460 1930152 2412690 2757360 3182453 3216920 3860304 4825380 6364906 6433840 9547359 9650760 12729812 15912265 19094718 19301520 22277171 25459624 31824530 38189436 44554342 47736795 50919248 63649060 66831513 76378872 89108684 95473590 111385855 127298120 133663026 152757744 178217368 190947180 222771710 254596240 267326052 334157565 356434736 381894360 445543420 534652104 668315130 763788720 891086840 1069304208 1336630260 1782173680 2673260520 5346521040