Search a number
-
+
182109330 = 2335133307
BaseRepresentation
bin10101101101011…
…00010010010010
3110200200010001000
422312230102102
5333104444310
630023122430
74340621664
oct1266542222
9420603030
10182109330
1193883487
1250ba3416
132b962000
141a286534
1510ec34c0
hexadac492

182109330 has 128 divisors (see below), whose sum is σ = 527788800. Its totient is φ = 44680896.

The previous prime is 182109329. The next prime is 182109337. The reversal of 182109330 is 33901281.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 182109294 and 182109303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182109337) 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 63 ways as a sum of consecutive naturals, for example, 593037 + ... + 593343.

It is an arithmetic number, because the mean of its divisors is an integer number (4123350).

Almost surely, 2182109330 is an apocalyptic number.

182109330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 182109330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263894400).

182109330 is an abundant number, since it is smaller than the sum of its proper divisors (345679470).

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

182109330 is a wasteful number, since it uses less digits than its factorization.

182109330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 182109330 is about 13494.7889942748. The cubic root of 182109330 is about 566.8185640470.

The spelling of 182109330 in words is "one hundred eighty-two million, one hundred nine thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 169 195 234 270 307 338 351 390 507 585 614 702 845 921 1014 1170 1521 1535 1690 1755 1842 2197 2535 2763 3042 3070 3510 3991 4394 4563 4605 5070 5526 6591 7605 7982 8289 9126 9210 10985 11973 13182 13815 15210 16578 19773 19955 21970 22815 23946 27630 32955 35919 39546 39910 41445 45630 51883 59319 59865 65910 71838 82890 98865 103766 107757 118638 119730 155649 179595 197730 215514 259415 296595 311298 359190 466947 518830 538785 593190 674479 778245 933894 1077570 1348958 1400841 1556490 2023437 2334735 2801682 3372395 4046874 4669470 6070311 6744790 7004205 10117185 12140622 14008410 18210933 20234370 30351555 36421866 60703110 91054665 182109330