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81226080 = 25325134339
BaseRepresentation
bin1001101011101…
…10100101100000
312122211201020100
410311312211200
5131243213310
612020542400
72004260505
oct465664540
9178751210
1081226080
11419393a1
1223251a00
1313a9c490
14ab054ac
1571e6ec0
hex4d76960

81226080 has 144 divisors (see below), whose sum is σ = 298574640. Its totient is φ = 19989504.

The previous prime is 81226073. The next prime is 81226081. The reversal of 81226080 is 8062218.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81226081) 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 23 ways as a sum of consecutive naturals, for example, 16551 + ... + 20889.

It is an arithmetic number, because the mean of its divisors is an integer number (2073435).

Almost surely, 281226080 is an apocalyptic number.

81226080 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 81226080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149287320).

81226080 is an abundant number, since it is smaller than the sum of its proper divisors (217348560).

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

81226080 is a wasteful number, since it uses less digits than its factorization.

81226080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4373 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 81226080 is about 9012.5512481206. The cubic root of 81226080 is about 433.0770450333.

Adding to 81226080 its reverse (8062218), we get a palindrome (89288298).

The spelling of 81226080 in words is "eighty-one million, two hundred twenty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4339 4680 6240 8678 9360 13017 17356 18720 21695 26034 34712 39051 43390 52068 56407 65085 69424 78102 86780 104136 112814 130170 138848 156204 169221 173560 195255 208272 225628 260340 282035 312408 338442 347120 390510 416544 451256 507663 520680 564070 624816 676884 694240 781020 846105 902512 1015326 1041360 1128140 1249632 1353768 1562040 1692210 1805024 2030652 2082720 2256280 2538315 2707536 3124080 3384420 4061304 4512560 5076630 5415072 6248160 6768840 8122608 9025120 10153260 13537680 16245216 20306520 27075360 40613040 81226080