Search a number
-
+
180159966 = 232722383107
BaseRepresentation
bin10101011110100…
…00010111011110
3110120000002000100
422233100113132
5332110104331
625513241530
74315222500
oct1257202736
9416002010
10180159966
1192771938
12504032a6
132b42b93c
1419cd9d70
1510c3aae6
hexabd05de

180159966 has 144 divisors (see below), whose sum is σ = 484009344. Its totient is φ = 48188448.

The previous prime is 180159953. The next prime is 180160009. The reversal of 180159966 is 669951081.

It is a super-2 number, since 2×1801599662 = 64915226698242312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1683685 + ... + 1683791.

It is an arithmetic number, because the mean of its divisors is an integer number (3361176).

Almost surely, 2180159966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180159966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242004672).

180159966 is an abundant number, since it is smaller than the sum of its proper divisors (303849378).

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

180159966 is a wasteful number, since it uses less digits than its factorization.

180159966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 180159966 is about 13422.3681219075. The cubic root of 180159966 is about 564.7888275489.

The spelling of 180159966 in words is "one hundred eighty million, one hundred fifty-nine thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 49 63 69 83 98 107 126 138 147 161 166 207 214 249 294 321 322 414 441 483 498 581 642 747 749 882 963 966 1127 1162 1449 1494 1498 1743 1909 1926 2247 2254 2461 2898 3381 3486 3818 4067 4494 4922 5229 5243 5727 6741 6762 7383 8134 8881 10143 10458 10486 11454 12201 13363 13482 14766 15729 17181 17227 17762 20286 22149 24402 26643 26726 31458 34362 34454 36603 40089 44298 47187 51681 53286 62167 73206 79929 80178 93541 94374 103362 120267 120589 124334 155043 159858 186501 187082 204263 240534 241178 280623 310086 361767 373002 408526 435169 559503 561246 612789 723534 841869 870338 1085301 1119006 1225578 1305507 1429841 1683738 1838367 2170602 2611014 2859682 3676734 3916521 4289523 7833042 8579046 10008887 12868569 20017774 25737138 30026661 60053322 90079983 180159966