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81865080 = 23345112297
BaseRepresentation
bin1001110000100…
…10100101111000
312201001011210000
410320102211320
5131424140310
612042353000
72012561463
oct470224570
9181034700
1081865080
11422354a0
12234bb760
1313c6429b
14ac302da
1572c14c0
hex4e12978

81865080 has 160 divisors (see below), whose sum is σ = 300302640. Its totient is φ = 19837440.

The previous prime is 81865067. The next prime is 81865087. The reversal of 81865080 is 8056818.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81865087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34492 + ... + 36788.

Almost surely, 281865080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81865080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150151320).

81865080 is an abundant number, since it is smaller than the sum of its proper divisors (218437560).

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

81865080 is a wasteful number, since it uses less digits than its factorization.

81865080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 81865080 is about 9047.9323604899. The cubic root of 81865080 is about 434.2097423909.

The spelling of 81865080 in words is "eighty-one million, eight hundred sixty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 264 270 297 324 330 360 396 405 440 495 540 594 648 660 792 810 891 990 1080 1188 1320 1485 1620 1782 1980 2297 2376 2970 3240 3564 3960 4455 4594 5940 6891 7128 8910 9188 11485 11880 13782 17820 18376 20673 22970 25267 27564 34455 35640 41346 45940 50534 55128 62019 68910 75801 82692 91880 101068 103365 124038 126335 137820 151602 165384 186057 202136 206730 227403 248076 252670 275640 303204 310095 372114 379005 413460 454806 496152 505340 606408 620190 682209 744228 758010 826920 909612 930285 1010680 1137015 1240380 1364418 1488456 1516020 1819224 1860570 2046627 2274030 2480760 2728836 3032040 3411045 3721140 4093254 4548060 5457672 6822090 7442280 8186508 9096120 10233135 13644180 16373016 20466270 27288360 40932540 81865080