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81326160 = 24335231637
BaseRepresentation
bin1001101100011…
…11000001010000
312200000210112000
410312033001100
5131304414120
612023034000
72005155336
oct466170120
9180023460
1081326160
11419a7603
122329b900
1313b05bb6
14ab2db56
157216990
hex4d8f050

81326160 has 160 divisors (see below), whose sum is σ = 292481280. Its totient is φ = 20731392.

The previous prime is 81326159. The next prime is 81326171. The reversal of 81326160 is 6162318.

It is a super-2 number, since 2×813261602 = 13227888600691200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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, 48862 + ... + 50498.

It is an arithmetic number, because the mean of its divisors is an integer number (1828008).

Almost surely, 281326160 is an apocalyptic number.

81326160 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 81326160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

81326160 is an abundant number, since it is smaller than the sum of its proper divisors (211155120).

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

81326160 is a wasteful number, since it uses less digits than its factorization.

81326160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 81326160 is about 9018.1017958326. The cubic root of 81326160 is about 433.2548391683.

Adding to 81326160 its reverse (6162318), we get a palindrome (87488478).

The spelling of 81326160 in words is "eighty-one million, three hundred twenty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 432 460 540 552 621 690 720 828 920 1035 1080 1104 1242 1380 1637 1656 1840 2070 2160 2484 2760 3105 3274 3312 4140 4911 4968 5520 6210 6548 8185 8280 9822 9936 12420 13096 14733 16370 16560 19644 24555 24840 26192 29466 32740 37651 39288 44199 49110 49680 58932 65480 73665 75302 78576 88398 98220 112953 117864 130960 147330 150604 176796 188255 196440 220995 225906 235728 294660 301208 338859 353592 376510 392880 441990 451812 564765 589320 602416 677718 707184 753020 883980 903624 1016577 1129530 1178640 1355436 1506040 1694295 1767960 1807248 2033154 2259060 2710872 3012080 3388590 3535920 4066308 4518120 5082885 5421744 6777180 8132616 9036240 10165770 13554360 16265232 20331540 27108720 40663080 81326160