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1086272180 = 2257219227257
BaseRepresentation
bin100000010111111…
…0011001010110100
32210201000100021222
41000233303022310
54211041202210
6255442325512
735630106200
oct10057631264
92721010258
101086272180
11508199404
12263959898
13144085406
14a43a7b00
1565573655
hex40bf32b4

1086272180 has 144 divisors (see below), whose sum is σ = 2816493120. Its totient is φ = 349913088.

The previous prime is 1086272141. The next prime is 1086272183. The reversal of 1086272180 is 812726801.

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 1086272180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1086272183) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4226612 + ... + 4226868.

It is an arithmetic number, because the mean of its divisors is an integer number (19558980).

Almost surely, 21086272180 is an apocalyptic number.

1086272180 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 1086272180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408246560).

1086272180 is an abundant number, since it is smaller than the sum of its proper divisors (1730220940).

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

1086272180 is a wasteful number, since it uses less digits than its factorization.

1086272180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 1086272180 is about 32958.6434793667. The cubic root of 1086272180 is about 1027.9678978302.

Adding to 1086272180 its reverse (812726801), we get a palindrome (1898998981).

The spelling of 1086272180 in words is "one billion, eighty-six million, two hundred seventy-two thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 227 245 257 266 380 454 490 514 532 665 908 931 980 1028 1135 1285 1330 1589 1799 1862 2270 2570 2660 3178 3598 3724 4313 4540 4655 4883 5140 6356 7196 7945 8626 8995 9310 9766 11123 12593 15890 17252 17990 18620 19532 21565 22246 24415 25186 30191 31780 34181 35980 43130 44492 48830 50372 55615 58339 60382 62965 68362 86260 97660 111230 116678 120764 125930 136724 150955 170905 211337 222460 233356 239267 251860 291695 301910 341810 408373 422674 478534 583390 603820 683620 816746 845348 957068 1056685 1108441 1166780 1196335 1633492 2041865 2113370 2216882 2392670 2858611 4083730 4226740 4433764 4785340 5542205 5717222 7759087 8167460 11084410 11434444 14293055 15518174 22168820 28586110 31036348 38795435 54313609 57172220 77590870 108627218 155181740 217254436 271568045 543136090 1086272180