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5341412760 = 2335414723099
BaseRepresentation
bin1001111100101111…
…10111110110011000
3111210020210212211020
410332113313312120
541414400202020
62242005002440
7246236154645
oct47627676630
914706725736
105341412760
1122a10a7512
1210509b3420
136717c9288
14389574dcc
15213de5c40
hex13e5f7d98

5341412760 has 128 divisors (see below), whose sum is σ = 16765056000. Its totient is φ = 1360010240.

The previous prime is 5341412737. The next prime is 5341412761. The reversal of 5341412760 is 672141435.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5341412761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219691 + ... + 242789.

It is an arithmetic number, because the mean of its divisors is an integer number (130977000).

Almost surely, 25341412760 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 5341412760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8382528000).

5341412760 is an abundant number, since it is smaller than the sum of its proper divisors (11423643240).

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

5341412760 is a wasteful number, since it uses less digits than its factorization.

5341412760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23201 (or 23197 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 5341412760 is about 73084.9694533698. The cubic root of 5341412760 is about 1748.0427380035.

The spelling of 5341412760 in words is "five billion, three hundred forty-one million, four hundred twelve thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 47 60 82 94 120 123 141 164 188 205 235 246 282 328 376 410 470 492 564 615 705 820 940 984 1128 1230 1410 1640 1880 1927 2460 2820 3854 4920 5640 5781 7708 9635 11562 15416 19270 23099 23124 28905 38540 46198 46248 57810 69297 77080 92396 115495 115620 138594 184792 230990 231240 277188 346485 461980 554376 692970 923960 947059 1085653 1385940 1894118 2171306 2771880 2841177 3256959 3788236 4342612 4735295 5428265 5682354 6513918 7576472 8685224 9470590 10856530 11364708 13027836 14205885 16284795 18941180 21713060 22729416 26055672 28411770 32569590 37882360 43426120 44511773 56823540 65139180 89023546 113647080 130278360 133535319 178047092 222558865 267070638 356094184 445117730 534141276 667676595 890235460 1068282552 1335353190 1780470920 2670706380 5341412760