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81244080 = 24335291297
BaseRepresentation
bin1001101011110…
…10111110110000
312122212121221000
410311322332300
5131244302310
612021202000
72004364131
oct465727660
9178777830
1081244080
1141950975
1223260300
1313aa7728
14ab0bc88
1571ec4c0
hex4d7afb0

81244080 has 160 divisors (see below), whose sum is σ = 289713600. Its totient is φ = 20901888.

The previous prime is 81244069. The next prime is 81244099. The reversal of 81244080 is 8044218.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61992 + ... + 63288.

It is an arithmetic number, because the mean of its divisors is an integer number (1810710).

Almost surely, 281244080 is an apocalyptic number.

81244080 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 81244080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144856800).

81244080 is an abundant number, since it is smaller than the sum of its proper divisors (208469520).

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

81244080 is a wasteful number, since it uses less digits than its factorization.

81244080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 81244080 is about 9013.5498001620. The cubic root of 81244080 is about 433.1090331626.

Adding to 81244080 its reverse (8044218), we get a palindrome (89288298).

The spelling of 81244080 in words is "eighty-one million, two hundred forty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 36 40 45 48 54 58 60 72 80 87 90 108 116 120 135 144 145 174 180 216 232 240 261 270 290 348 360 432 435 464 522 540 580 696 720 783 870 1044 1080 1160 1297 1305 1392 1566 1740 2088 2160 2320 2594 2610 3132 3480 3891 3915 4176 5188 5220 6264 6485 6960 7782 7830 10376 10440 11673 12528 12970 15564 15660 19455 20752 20880 23346 25940 31128 31320 35019 37613 38910 46692 51880 58365 62256 62640 70038 75226 77820 93384 103760 112839 116730 140076 150452 155640 175095 186768 188065 225678 233460 280152 300904 311280 338517 350190 376130 451356 466920 560304 564195 601808 677034 700380 752260 902712 933840 1015551 1128390 1354068 1400760 1504520 1692585 1805424 2031102 2256780 2708136 2801520 3009040 3385170 4062204 4513560 5077755 5416272 6770340 8124408 9027120 10155510 13540680 16248816 20311020 27081360 40622040 81244080