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8182140 = 2235315383
BaseRepresentation
bin11111001101100101111100
3120101200210020
4133031211330
54043312030
6451212140
7126355431
oct37154574
916350706
108182140
1146893aa
1228a7050
131906305
14112db88
15ab9510
hex7cd97c

8182140 has 96 divisors (see below), whose sum is σ = 24385536. Its totient is φ = 2046720.

The previous prime is 8182123. The next prime is 8182157. The reversal of 8182140 is 412818.

It is an interprime number because it is at equal distance from previous prime (8182123) and next prime (8182157).

It is a self number, because there is not a number n which added to its sum of digits gives 8182140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98539 + ... + 98621.

It is an arithmetic number, because the mean of its divisors is an integer number (254016).

Almost surely, 28182140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8182140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12192768).

8182140 is an abundant number, since it is smaller than the sum of its proper divisors (16203396).

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

8182140 is a wasteful number, since it uses less digits than its factorization.

8182140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 8182140 is about 2860.4440214764. Note that the first 3 decimals coincide. The cubic root of 8182140 is about 201.5064577685.

Adding to 8182140 its reverse (412818), we get a palindrome (8594958).

The spelling of 8182140 in words is "eight million, one hundred eighty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 53 60 62 83 93 106 124 155 159 166 186 212 249 265 310 318 332 372 415 465 498 530 620 636 795 830 930 996 1060 1245 1590 1643 1660 1860 2490 2573 3180 3286 4399 4929 4980 5146 6572 7719 8215 8798 9858 10292 12865 13197 15438 16430 17596 19716 21995 24645 25730 26394 30876 32860 38595 43990 49290 51460 52788 65985 77190 87980 98580 131970 136369 154380 263940 272738 409107 545476 681845 818214 1363690 1636428 2045535 2727380 4091070 8182140