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81087630 = 235131931353
BaseRepresentation
bin1001101010101…
…00110010001110
312122120200022120
410311110302032
5131224301010
612013553410
72003143041
oct465246216
9178520276
1081087630
1141854378
12231a5866
1313a51460
14aaaac58
1571bae70
hex4d54c8e

81087630 has 128 divisors (see below), whose sum is σ = 228372480. Its totient is φ = 18247680.

The previous prime is 81087623. The next prime is 81087631. The reversal of 81087630 is 3678018.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 81087591 and 81087600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81087631) 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, 229534 + ... + 229886.

It is an arithmetic number, because the mean of its divisors is an integer number (1784160).

Almost surely, 281087630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81087630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114186240).

81087630 is an abundant number, since it is smaller than the sum of its proper divisors (147284850).

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

81087630 is a wasteful number, since it uses less digits than its factorization.

81087630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 81087630 is about 9004.8670173412. The cubic root of 81087630 is about 432.8308448957.

The spelling of 81087630 in words is "eighty-one million, eighty-seven thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 31 38 39 57 62 65 78 93 95 114 130 155 186 190 195 247 285 310 353 390 403 465 494 570 589 706 741 806 930 1059 1178 1209 1235 1482 1765 1767 2015 2118 2418 2470 2945 3530 3534 3705 4030 4589 5295 5890 6045 6707 7410 7657 8835 9178 10590 10943 12090 13414 13767 15314 17670 20121 21886 22945 22971 27534 32829 33535 38285 40242 45890 45942 54715 65658 67070 68835 76570 87191 100605 109430 114855 137670 142259 164145 174382 201210 207917 229710 261573 284518 328290 415834 426777 435955 523146 623751 711295 853554 871910 1039585 1247502 1307865 1422590 2079170 2133885 2615730 2702921 3118755 4267770 5405842 6237510 8108763 13514605 16217526 27029210 40543815 81087630