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81721116 = 223323167197
BaseRepresentation
bin1001101111011…
…11011100011100
312200202212022000
410313233130130
5131410033431
612035322300
72011421661
oct467573434
9180685260
1081721116
1142147314
1223450390
1313c138b9
14abd3a68
1572939e6
hex4def71c

81721116 has 96 divisors (see below), whose sum is σ = 223534080. Its totient is φ = 25768512.

The previous prime is 81721103. The next prime is 81721121. The reversal of 81721116 is 61112718.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 81721116.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414730 + ... + 414926.

It is an arithmetic number, because the mean of its divisors is an integer number (2328480).

Almost surely, 281721116 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 81721116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111767040).

81721116 is an abundant number, since it is smaller than the sum of its proper divisors (141812964).

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

81721116 is a wasteful number, since it uses less digits than its factorization.

81721116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 392 counting only the distinct ones).

The product of its digits is 672, while the sum is 27.

The square root of 81721116 is about 9039.9732300489. The cubic root of 81721116 is about 433.9550662421.

The spelling of 81721116 in words is "eighty-one million, seven hundred twenty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 167 197 207 276 334 394 414 501 591 621 668 788 828 1002 1182 1242 1503 1773 2004 2364 2484 3006 3546 3841 4509 4531 5319 6012 7092 7682 9018 9062 10638 11523 13593 15364 18036 18124 21276 23046 27186 32899 34569 40779 46092 54372 65798 69138 81558 98697 103707 122337 131596 138276 163116 197394 207414 244674 296091 394788 414828 489348 592182 756677 888273 1184364 1513354 1776546 2270031 3026708 3553092 4540062 6810093 9080124 13620186 20430279 27240372 40860558 81721116