Search a number
-
+
81801460 = 225131929571
BaseRepresentation
bin1001110000000…
…11000011110100
312200220221111201
410320003003310
5131420121320
612041142244
72012205136
oct470030364
9180827451
1081801460
11421a1714
122348a984
1313c41340
14ac15056
1572ac70a
hex4e030f4

81801460 has 96 divisors (see below), whose sum is σ = 201801600. Its totient is φ = 27578880.

The previous prime is 81801449. The next prime is 81801463. The reversal of 81801460 is 6410818.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81801463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142975 + ... + 143545.

It is an arithmetic number, because the mean of its divisors is an integer number (2102100).

Almost surely, 281801460 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 81801460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100900800).

81801460 is an abundant number, since it is smaller than the sum of its proper divisors (120000140).

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

81801460 is a wasteful number, since it uses less digits than its factorization.

81801460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 81801460 is about 9044.4159568211. The cubic root of 81801460 is about 434.0972337656.

The spelling of 81801460 in words is "eighty-one million, eight hundred one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 19 20 26 29 38 52 58 65 76 95 116 130 145 190 247 260 290 377 380 494 551 571 580 754 988 1102 1142 1235 1508 1885 2204 2284 2470 2755 2855 3770 4940 5510 5710 7163 7423 7540 10849 11020 11420 14326 14846 16559 21698 28652 29692 33118 35815 37115 43396 54245 66236 71630 74230 82795 108490 141037 143260 148460 165590 215267 216980 282074 314621 331180 430534 564148 629242 705185 861068 1076335 1258484 1410370 1573105 2152670 2820740 3146210 4090073 4305340 6292420 8180146 16360292 20450365 40900730 81801460