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81315080 = 235711171553
BaseRepresentation
bin1001101100011…
…00010100001000
312200000020022122
410312030110020
5131304040310
612022510412
72005111130
oct466142410
9180006278
1081315080
114199a250
1223295408
1313b00b42
14ab29ac0
157213555
hex4d8c508

81315080 has 128 divisors (see below), whose sum is σ = 241678080. Its totient is φ = 23838720.

The previous prime is 81315071. The next prime is 81315083. The reversal of 81315080 is 8051318.

It is a super-2 number, since 2×813150802 = 13224284470812800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (81315083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51584 + ... + 53136.

It is an arithmetic number, because the mean of its divisors is an integer number (1888110).

Almost surely, 281315080 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 81315080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120839040).

81315080 is an abundant number, since it is smaller than the sum of its proper divisors (160363000).

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

81315080 is a wasteful number, since it uses less digits than its factorization.

81315080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 81315080 is about 9017.4874549400. The cubic root of 81315080 is about 433.2351625081.

Adding to 81315080 its reverse (8051318), we get a palindrome (89366398).

The spelling of 81315080 in words is "eighty-one million, three hundred fifteen thousand, eighty".

Divisors: 1 2 4 5 7 8 10 11 14 17 20 22 28 34 35 40 44 55 56 68 70 77 85 88 110 119 136 140 154 170 187 220 238 280 308 340 374 385 440 476 595 616 680 748 770 935 952 1190 1309 1496 1540 1553 1870 2380 2618 3080 3106 3740 4760 5236 6212 6545 7480 7765 10472 10871 12424 13090 15530 17083 21742 26180 26401 31060 34166 43484 52360 52802 54355 62120 68332 85415 86968 105604 108710 119581 132005 136664 170830 184807 211208 217420 239162 264010 290411 341660 369614 434840 478324 528020 580822 597905 683320 739228 924035 956648 1056040 1161644 1195810 1452055 1478456 1848070 2032877 2323288 2391620 2904110 3696140 4065754 4783240 5808220 7392280 8131508 10164385 11616440 16263016 20328770 40657540 81315080