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81954390 = 23573112589
BaseRepresentation
bin1001110001010…
…00011001010110
312201012201021210
410320220121112
5131440020030
612044322250
72013413040
oct470503126
9181181253
1081954390
1142296601
1223543386
1313c95b2b
14ac54a90
1572dcbb0
hex4e28656

81954390 has 64 divisors (see below), whose sum is σ = 232058880. Its totient is φ = 18126720.

The previous prime is 81954349. The next prime is 81954413. The reversal of 81954390 is 9345918.

It is a congruent number.

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, 216 + ... + 12804.

It is an arithmetic number, because the mean of its divisors is an integer number (3625920).

Almost surely, 281954390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81954390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116029440).

81954390 is an abundant number, since it is smaller than the sum of its proper divisors (150104490).

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

81954390 is a wasteful number, since it uses less digits than its factorization.

81954390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12637.

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 81954390 is about 9052.8663968933. The cubic root of 81954390 is about 434.3675841254.

The spelling of 81954390 in words is "eighty-one million, nine hundred fifty-four thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 651 930 1085 1302 2170 3255 6510 12589 25178 37767 62945 75534 88123 125890 176246 188835 264369 377670 390259 440615 528738 780518 881230 1170777 1321845 1951295 2341554 2643690 2731813 3902590 5463626 5853885 8195439 11707770 13659065 16390878 27318130 40977195 81954390