Search a number
-
+
145980780 = 223511292263
BaseRepresentation
bin10001011001101…
…11110101101100
3101011200120222120
420230313311230
5244332341110
622252512540
73421546641
oct1054676554
9334616876
10145980780
1175447580
1240a7b750
132432267a
141555ddc8
15cc38870
hex8b37d6c

145980780 has 144 divisors (see below), whose sum is σ = 463567104. Its totient is φ = 34039040.

The previous prime is 145980773. The next prime is 145980797. The reversal of 145980780 is 87089541.

145980780 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 554929 + ... + 555191.

It is an arithmetic number, because the mean of its divisors is an integer number (3219216).

Almost surely, 2145980780 is an apocalyptic number.

145980780 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 145980780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231783552).

145980780 is an abundant number, since it is smaller than the sum of its proper divisors (317586324).

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

145980780 is a wasteful number, since it uses less digits than its factorization.

145980780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 145980780 is about 12082.2506181589. The cubic root of 145980780 is about 526.5406355129.

The spelling of 145980780 in words is "one hundred forty-five million, nine hundred eighty thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 132 145 165 174 220 263 290 319 330 348 435 526 580 638 660 789 841 870 957 1052 1276 1315 1578 1595 1682 1740 1914 2523 2630 2893 3156 3190 3364 3828 3945 4205 4785 5046 5260 5786 6380 7627 7890 8410 8679 9251 9570 10092 11572 12615 14465 15254 15780 16820 17358 18502 19140 22881 25230 27753 28930 30508 34716 37004 38135 43395 45762 46255 50460 55506 57860 76270 83897 86790 91524 92510 111012 114405 138765 152540 167794 173580 185020 221183 228810 251691 277530 335588 419485 442366 457620 503382 555060 663549 838970 884732 1006764 1105915 1258455 1327098 1677940 2211830 2433013 2516910 2654196 3317745 4423660 4866026 5033820 6635490 7299039 9732052 12165065 13270980 14598078 24330130 29196156 36495195 48660260 72990390 145980780