Search a number
-
+
5343719280 = 243583457587
BaseRepresentation
bin1001111101000001…
…01010111101110000
3111210102011001202220
410332200222331300
541420443004110
62242130241040
7246264602334
oct47640527560
914712131686
105343719280
1122a2432429
121051726180
13672126093
143899b57c4
152141ee370
hex13e82af70

5343719280 has 160 divisors (see below), whose sum is σ = 16830422784. Its totient is φ = 1402349568.

The previous prime is 5343719279. The next prime is 5343719317. The reversal of 5343719280 is 829173435.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9103147 + ... + 9103733.

Almost surely, 25343719280 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 5343719280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8415211392).

5343719280 is an abundant number, since it is smaller than the sum of its proper divisors (11486703504).

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

5343719280 is a wasteful number, since it uses less digits than its factorization.

5343719280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 5343719280 is about 73100.7474653987. The cubic root of 5343719280 is about 1748.2943141006.

The spelling of 5343719280 in words is "five billion, three hundred forty-three million, seven hundred nineteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 332 415 457 498 587 664 830 914 996 1174 1245 1328 1371 1660 1761 1828 1992 2285 2348 2490 2742 2935 3320 3522 3656 3984 4570 4696 4980 5484 5870 6640 6855 7044 7312 8805 9140 9392 9960 10968 11740 13710 14088 17610 18280 19920 21936 23480 27420 28176 35220 36560 37931 46960 48721 54840 70440 75862 97442 109680 113793 140880 146163 151724 189655 194884 227586 243605 268259 292326 303448 379310 389768 455172 487210 536518 568965 584652 606896 730815 758620 779536 804777 910344 974420 1073036 1137930 1169304 1341295 1461630 1517240 1609554 1820688 1948840 2146072 2275860 2338608 2682590 2923260 3034480 3219108 3897680 4023885 4292144 4551720 5365180 5846520 6438216 8047770 9103440 10730360 11693040 12876432 16095540 21460720 22265497 32191080 44530994 64382160 66796491 89061988 111327485 133592982 178123976 222654970 267185964 333982455 356247952 445309940 534371928 667964910 890619880 1068743856 1335929820 1781239760 2671859640 5343719280