Search a number
-
+
81303520 = 2551771421
BaseRepresentation
bin1001101100010…
…01011111100000
312122222122110111
410312021133200
5131303203040
612022341104
72005032334
oct466113740
9178878414
1081303520
11419915a1
122328a794
1313ac87bc
14ab257c4
15720edea
hex4d897e0

81303520 has 96 divisors (see below), whose sum is σ = 206732736. Its totient is φ = 30105600.

The previous prime is 81303517. The next prime is 81303529. The reversal of 81303520 is 2530318.

It is a super-2 number, since 2×813035202 = 13220524728780800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 81303491 and 81303500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81303529) 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 15 ways as a sum of consecutive naturals, for example, 192910 + ... + 193330.

It is an arithmetic number, because the mean of its divisors is an integer number (2153466).

Almost surely, 281303520 is an apocalyptic number.

81303520 is a gapful number since it is divisible by the number (80) 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 81303520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103366368).

81303520 is an abundant number, since it is smaller than the sum of its proper divisors (125429216).

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

81303520 is a wasteful number, since it uses less digits than its factorization.

81303520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 81303520 is about 9016.8464553856. The cubic root of 81303520 is about 433.2146315241.

Adding to 81303520 its reverse (2530318), we get a palindrome (83833838).

It can be divided in two parts, 81 and 303520, that added together give a square (303601 = 5512).

The spelling of 81303520 in words is "eighty-one million, three hundred three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 71 80 85 136 142 160 170 272 284 340 355 421 544 568 680 710 842 1136 1207 1360 1420 1684 2105 2272 2414 2720 2840 3368 4210 4828 5680 6035 6736 7157 8420 9656 11360 12070 13472 14314 16840 19312 24140 28628 29891 33680 35785 38624 48280 57256 59782 67360 71570 96560 114512 119564 143140 149455 193120 229024 239128 286280 298910 478256 508147 572560 597820 956512 1016294 1145120 1195640 2032588 2391280 2540735 4065176 4782560 5081470 8130352 10162940 16260704 20325880 40651760 81303520