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81114880 = 285711823
BaseRepresentation
bin1001101010110…
…11011100000000
312122122001200211
410311123130000
5131231134010
612014323504
72003315350
oct465333400
9178561624
1081114880
11418728a0
12231b9594
1313a60992
14aab6b60
1571c408a
hex4d5b700

81114880 has 144 divisors (see below), whose sum is σ = 242532864. Its totient is φ = 25251840.

The previous prime is 81114877. The next prime is 81114883. The reversal of 81114880 is 8841118.

It is an interprime number because it is at equal distance from previous prime (81114877) and next prime (81114883).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81114883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98149 + ... + 98971.

It is an arithmetic number, because the mean of its divisors is an integer number (1684256).

Almost surely, 281114880 is an apocalyptic number.

81114880 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 81114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121266432).

81114880 is an abundant number, since it is smaller than the sum of its proper divisors (161417984).

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

81114880 is a wasteful number, since it uses less digits than its factorization.

81114880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 31.

The square root of 81114880 is about 9006.3799608944. The cubic root of 81114880 is about 432.8793246271.

Adding to 81114880 its reverse (8841118), we get a palindrome (89955998).

The spelling of 81114880 in words is "eighty-one million, one hundred fourteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 256 280 308 320 352 385 440 448 560 616 640 704 770 823 880 896 1120 1232 1280 1408 1540 1646 1760 1792 2240 2464 2816 3080 3292 3520 4115 4480 4928 5761 6160 6584 7040 8230 8960 9053 9856 11522 12320 13168 14080 16460 18106 19712 23044 24640 26336 28805 32920 36212 45265 46088 49280 52672 57610 63371 65840 72424 90530 92176 98560 105344 115220 126742 131680 144848 181060 184352 210688 230440 253484 263360 289696 316855 362120 368704 460880 506968 526720 579392 633710 724240 737408 921760 1013936 1053440 1158784 1267420 1448480 1474816 1843520 2027872 2317568 2534840 2896960 3687040 4055744 5069680 5793920 7374080 8111488 10139360 11587840 16222976 20278720 40557440 81114880