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81027100 = 225271117619
BaseRepresentation
bin1001101010001…
…10000000011100
312122110121021201
410311012000130
5131220331400
612012405244
72002501420
oct465060034
9178417251
1081027100
1141812950
1223176824
1313a2ca3b
14aa92b80
1571a806a
hex4d4601c

81027100 has 144 divisors (see below), whose sum is σ = 232485120. Its totient is φ = 23731200.

The previous prime is 81027071. The next prime is 81027109. The reversal of 81027100 is 172018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81027109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130591 + ... + 131209.

It is an arithmetic number, because the mean of its divisors is an integer number (1614480).

Almost surely, 281027100 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 81027100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116242560).

81027100 is an abundant number, since it is smaller than the sum of its proper divisors (151458020).

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

81027100 is a wasteful number, since it uses less digits than its factorization.

81027100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 81027100 is about 9001.5054296490. The cubic root of 81027100 is about 432.7231187531.

Adding to 81027100 its reverse (172018), we get a palindrome (81199118).

The spelling of 81027100 in words is "eighty-one million, twenty-seven thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 25 28 34 35 44 50 55 68 70 77 85 100 110 119 140 154 170 175 187 220 238 275 308 340 350 374 385 425 476 550 595 619 700 748 770 850 935 1100 1190 1238 1309 1540 1700 1870 1925 2380 2476 2618 2975 3095 3740 3850 4333 4675 5236 5950 6190 6545 6809 7700 8666 9350 10523 11900 12380 13090 13618 15475 17332 18700 21046 21665 26180 27236 30950 32725 34045 42092 43330 47663 52615 61900 65450 68090 73661 86660 95326 105230 108325 115753 130900 136180 147322 170225 190652 210460 216650 231506 238315 263075 294644 340450 368305 433300 463012 476630 526150 578765 680900 736610 810271 953260 1052300 1157530 1191575 1473220 1620542 1841525 2315060 2383150 2893825 3241084 3683050 4051355 4766300 5787650 7366100 8102710 11575300 16205420 20256775 40513550 81027100