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81231660 = 22345411223
BaseRepresentation
bin1001101011101…
…11111100101100
312122211222220000
410311313330230
5131243403120
612021024300
72004312666
oct465677454
9178758800
1081231660
1141942604
1223255090
1313aa1b93
14ab07536
1571e8990
hex4d77f2c

81231660 has 120 divisors (see below), whose sum is σ = 261255456. Its totient is φ = 21116160.

The previous prime is 81231649. The next prime is 81231673. The reversal of 81231660 is 6613218.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65809 + ... + 67031.

Almost surely, 281231660 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 81231660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130627728).

81231660 is an abundant number, since it is smaller than the sum of its proper divisors (180023796).

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

81231660 is a wasteful number, since it uses less digits than its factorization.

81231660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 81231660 is about 9012.8608110855. The cubic root of 81231660 is about 433.0869618588.

Adding to 81231660 its reverse (6613218), we get a palindrome (87844878).

The spelling of 81231660 in words is "eighty-one million, two hundred thirty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 81 82 90 108 123 135 162 164 180 205 246 270 324 369 405 410 492 540 615 738 810 820 1107 1223 1230 1476 1620 1845 2214 2446 2460 3321 3669 3690 4428 4892 5535 6115 6642 7338 7380 11007 11070 12230 13284 14676 16605 18345 22014 22140 24460 33021 33210 36690 44028 50143 55035 66042 66420 73380 99063 100286 110070 132084 150429 165105 198126 200572 220140 250715 300858 330210 396252 451287 495315 501430 601716 660420 752145 902574 990630 1002860 1353861 1504290 1805148 1981260 2256435 2707722 3008580 4061583 4512870 5415444 6769305 8123166 9025740 13538610 16246332 20307915 27077220 40615830 81231660