Search a number
-
+
182493080 = 235711193307
BaseRepresentation
bin10101110000010…
…01111110011000
3110201101121102222
422320021332120
5333204234310
630035243212
74344110540
oct1270117630
9421347388
10182493080
1194015830
1251149508
132ba67893
141a346320
151104c055
hexae09f98

182493080 has 128 divisors (see below), whose sum is σ = 516257280. Its totient is φ = 56401920.

The previous prime is 182493071. The next prime is 182493083. The reversal of 182493080 is 80394281.

It is a happy number.

182493080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 135092-1.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 182493080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182493083) 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, 594287 + ... + 594593.

It is an arithmetic number, because the mean of its divisors is an integer number (4033260).

Almost surely, 2182493080 is an apocalyptic number.

182493080 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 182493080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258128640).

182493080 is an abundant number, since it is smaller than the sum of its proper divisors (333764200).

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

182493080 is a wasteful number, since it uses less digits than its factorization.

182493080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 182493080 is about 13508.9999629876. Note that the first 4 decimals coincide. The cubic root of 182493080 is about 567.2164276367.

The spelling of 182493080 in words is "one hundred eighty-two million, four hundred ninety-three thousand, eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 193 220 280 307 308 385 386 440 614 616 770 772 965 1228 1351 1535 1540 1544 1930 2123 2149 2456 2702 3070 3080 3377 3860 4246 4298 5404 6140 6754 6755 7720 8492 8596 10615 10745 10808 12280 13508 13510 14861 16885 16984 17192 21230 21490 23639 27016 27020 29722 33770 42460 42980 47278 54040 59251 59444 67540 74305 84920 85960 94556 118195 118502 118888 135080 148610 189112 236390 237004 296255 297220 414757 472780 474008 592510 594440 651761 829514 945560 1185020 1303522 1659028 2073785 2370040 2607044 3258805 3318056 4147570 4562327 5214088 6517610 8295140 9124654 13035220 16590280 18249308 22811635 26070440 36498616 45623270 91246540 182493080