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2730150306 = 2331329592273
BaseRepresentation
bin1010001010111010…
…1100100110100010
321001021021000011000
42202232230212202
521042404302211
61130524332430
7124440615612
oct24256544642
97037230130
102730150306
11118110a374
126423a4116
13346811c70
141bc840a42
1510ea3d656
hexa2bac9a2

2730150306 has 128 divisors (see below), whose sum is σ = 6876576000. Its totient is φ = 796981248.

The previous prime is 2730150289. The next prime is 2730150317. The reversal of 2730150306 is 6030510372.

It is a happy number.

2730150306 is a `hidden beast` number, since 2 + 7 + 301 + 50 + 306 = 666.

It is a super-3 number, since 3×27301503063 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2730150306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1199986 + ... + 1202258.

It is an arithmetic number, because the mean of its divisors is an integer number (53723250).

Almost surely, 22730150306 is an apocalyptic number.

2730150306 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2730150306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438288000).

2730150306 is an abundant number, since it is smaller than the sum of its proper divisors (4146425694).

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

2730150306 is a wasteful number, since it uses less digits than its factorization.

2730150306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 2730150306 is about 52250.8402420478. The cubic root of 2730150306 is about 1397.6406359556.

Adding to 2730150306 its reverse (6030510372), we get a palindrome (8760660678).

The spelling of 2730150306 in words is "two billion, seven hundred thirty million, one hundred fifty thousand, three hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 59 78 87 117 118 174 177 234 261 351 354 377 522 531 702 754 767 783 1062 1131 1534 1566 1593 1711 2262 2273 2301 3186 3393 3422 4546 4602 5133 6786 6819 6903 10179 10266 13638 13806 15399 20358 20457 20709 22243 29549 30798 40914 41418 44486 46197 59098 61371 65917 66729 88647 92394 122742 131834 133458 134107 177294 197751 200187 265941 268214 395502 400374 402321 531882 593253 600561 797823 804642 856921 1186506 1201122 1206963 1595646 1713842 1743391 1779759 2413926 2570763 3486782 3559518 3620889 3889103 5141526 5230173 7241778 7712289 7778206 10460346 11667309 15424578 15690519 23136867 23334618 31381038 35001927 46273734 47071557 50558339 70003854 94143114 101116678 105005781 151675017 210011562 303350034 455025051 910050102 1365075153 2730150306