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81301440 = 2635117699
BaseRepresentation
bin1001101100010…
…00111111000000
312122222112121110
410312020333000
5131303121230
612022323320
72005023303
oct466107700
9178875543
1081301440
114198aa80
1223289540
1313ac787c
14ab24b3a
15720e4b0
hex4d88fc0

81301440 has 112 divisors (see below), whose sum is σ = 281635200. Its totient is φ = 19706880.

The previous prime is 81301427. The next prime is 81301501. The reversal of 81301440 is 4410318.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6711 + ... + 14409.

It is an arithmetic number, because the mean of its divisors is an integer number (2514600).

Almost surely, 281301440 is an apocalyptic number.

81301440 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 81301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140817600).

81301440 is an abundant number, since it is smaller than the sum of its proper divisors (200333760).

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

81301440 is a wasteful number, since it uses less digits than its factorization.

81301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7730 (or 7720 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 81301440 is about 9016.7311149884. The cubic root of 81301440 is about 433.2109371613.

Adding to 81301440 its reverse (4410318), we get a palindrome (85711758).

The spelling of 81301440 in words is "eighty-one million, three hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 7699 10560 15398 23097 30796 38495 46194 61592 76990 84689 92388 115485 123184 153980 169378 184776 230970 246368 254067 307960 338756 369552 423445 461940 492736 508134 615920 677512 739104 846890 923880 1016268 1231840 1270335 1355024 1478208 1693780 1847760 2032536 2463680 2540670 2710048 3387560 3695520 4065072 5081340 5420096 6775120 7391040 8130144 10162680 13550240 16260288 20325360 27100480 40650720 81301440