Search a number
-
+
5366002560 = 273514918757
BaseRepresentation
bin1001111111101011…
…01011001110000000
3111211222002011200120
410333311223032000
541442144040220
62244244020240
7246655161222
oct47765531600
914758064616
105366002560
112303a72166
121059091680
13676928859
1438c936412
15216151a40
hex13fd6b380

5366002560 has 128 divisors (see below), whose sum is σ = 17219844000. Its totient is φ = 1421254656.

The previous prime is 5366002541. The next prime is 5366002561. The reversal of 5366002560 is 652006635.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5366002561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276702 + ... + 295458.

Almost surely, 25366002560 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 5366002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8609922000).

5366002560 is an abundant number, since it is smaller than the sum of its proper divisors (11853841440).

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

5366002560 is a wasteful number, since it uses less digits than its factorization.

5366002560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18928 (or 18916 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 5366002560 is about 73253.0037609380. The cubic root of 5366002560 is about 1750.7210699244.

The spelling of 5366002560 in words is "five billion, three hundred sixty-six million, two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 149 160 192 240 298 320 384 447 480 596 640 745 894 960 1192 1490 1788 1920 2235 2384 2980 3576 4470 4768 5960 7152 8940 9536 11920 14304 17880 18757 19072 23840 28608 35760 37514 47680 56271 57216 71520 75028 93785 95360 112542 143040 150056 187570 225084 281355 286080 300112 375140 450168 562710 600224 750280 900336 1125420 1200448 1500560 1800672 2250840 2400896 2794793 3001120 3601344 4501680 5589586 6002240 7202688 8384379 9003360 11179172 12004480 13973965 16768758 18006720 22358344 27947930 33537516 36013440 41921895 44716688 55895860 67075032 83843790 89433376 111791720 134150064 167687580 178866752 223583440 268300128 335375160 357733504 447166880 536600256 670750320 894333760 1073200512 1341500640 1788667520 2683001280 5366002560