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5386067760 = 2435531034111
BaseRepresentation
bin1010000010000100…
…01101111100110000
3111220100211120222010
411001002031330300
542012313132020
62250242042520
7250320551313
oct50102157460
914810746863
105386067760
112314327477
121063949440
1367ab32858
1439147a97a
15217cb6de0
hex14108df30

5386067760 has 160 divisors (see below), whose sum is σ = 17181186048. Its totient is φ = 1395164160.

The previous prime is 5386067759. The next prime is 5386067761. The reversal of 5386067760 is 677606835.

It is an interprime number because it is at equal distance from previous prime (5386067759) and next prime (5386067761).

It is a super-2 number, since 2×53860677602 = 58019451830622835200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5386067761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1308105 + ... + 1312215.

Almost surely, 25386067760 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 5386067760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8590593024).

5386067760 is an abundant number, since it is smaller than the sum of its proper divisors (11795118288).

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

5386067760 is a wasteful number, since it uses less digits than its factorization.

5386067760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4283 (or 4277 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The square root of 5386067760 is about 73389.8341734058. The cubic root of 5386067760 is about 1752.9005243136.

The spelling of 5386067760 in words is "five billion, three hundred eighty-six million, sixty-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 103 106 120 159 206 212 240 265 309 318 412 424 515 530 618 636 795 824 848 1030 1060 1236 1272 1545 1590 1648 2060 2120 2472 2544 3090 3180 4111 4120 4240 4944 5459 6180 6360 8222 8240 10918 12333 12360 12720 16377 16444 20555 21836 24666 24720 27295 32754 32888 41110 43672 49332 54590 61665 65508 65776 81885 82220 87344 98664 109180 123330 131016 163770 164440 197328 217883 218360 246660 262032 327540 328880 423433 435766 436720 493320 653649 655080 846866 871532 986640 1089415 1270299 1307298 1310160 1693732 1743064 2117165 2178830 2540598 2614596 3268245 3387464 3486128 4234330 4357660 5081196 5229192 6351495 6536490 6774928 8468660 8715320 10162392 10458384 12702990 13072980 16937320 17430640 20324784 22441949 25405980 26145960 33874640 44883898 50811960 52291920 67325847 89767796 101623920 112209745 134651694 179535592 224419490 269303388 336629235 359071184 448838980 538606776 673258470 897677960 1077213552 1346516940 1795355920 2693033880 5386067760