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141105580 = 225711591553
BaseRepresentation
bin10000110100100…
…01100110101100
3100211111220110121
420122101212230
5242110334310
622000214324
73332243350
oct1032214654
9324456417
10141105580
1172717790
123b30a3a4
1323306635
1414a51460
15c5c40da
hex86919ac

141105580 has 96 divisors (see below), whose sum is σ = 375943680. Its totient is φ = 43207680.

The previous prime is 141105563. The next prime is 141105589. The reversal of 141105580 is 85501141.

It is a happy number.

It is a super-3 number, since 3×1411055803 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (141105589) 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, 90084 + ... + 91636.

It is an arithmetic number, because the mean of its divisors is an integer number (3916080).

Almost surely, 2141105580 is an apocalyptic number.

141105580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141105580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187971840).

141105580 is an abundant number, since it is smaller than the sum of its proper divisors (234838100).

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

141105580 is a wasteful number, since it uses less digits than its factorization.

141105580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 25.

The square root of 141105580 is about 11878.7869751082. The cubic root of 141105580 is about 520.6126654463.

The spelling of 141105580 in words is "one hundred forty-one million, one hundred five thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 59 70 77 110 118 140 154 220 236 295 308 385 413 590 649 770 826 1180 1298 1540 1553 1652 2065 2596 3106 3245 4130 4543 6212 6490 7765 8260 9086 10871 12980 15530 17083 18172 21742 22715 31060 34166 43484 45430 54355 68332 85415 90860 91627 108710 119581 170830 183254 217420 239162 341660 366508 458135 478324 597905 641389 916270 1007897 1195810 1282778 1832540 2015794 2391620 2565556 3206945 4031588 5039485 6413890 7055279 10078970 12827780 14110558 20157940 28221116 35276395 70552790 141105580