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81964530 = 232571101127
BaseRepresentation
bin1001110001010…
…10110111110010
312201020020012100
410320222313302
5131440331110
612044441230
72013454434
oct470526762
9181206170
1081964530
11422a318a
1223549216
1313c9a62b
14ac58654
1572e0bc0
hex4e2adf2

81964530 has 96 divisors (see below), whose sum is σ = 219967488. Its totient is φ = 21168000.

The previous prime is 81964529. The next prime is 81964543. The reversal of 81964530 is 3546918.

81964530 is a `hidden beast` number, since 8 + 1 + 9 + 645 + 3 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 645327 + ... + 645453.

It is an arithmetic number, because the mean of its divisors is an integer number (2291328).

Almost surely, 281964530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81964530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109983744).

81964530 is an abundant number, since it is smaller than the sum of its proper divisors (138002958).

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

81964530 is a wasteful number, since it uses less digits than its factorization.

81964530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 81964530 is about 9053.4264231837. The cubic root of 81964530 is about 434.3854977709.

The spelling of 81964530 in words is "eighty-one million, nine hundred sixty-four thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 101 127 142 202 213 254 303 355 381 426 505 606 635 639 710 762 909 1010 1065 1143 1270 1278 1515 1818 1905 2130 2286 3030 3195 3810 4545 5715 6390 7171 9017 9090 11430 12827 14342 18034 21513 25654 27051 35855 38481 43026 45085 54102 64135 64539 71710 76962 81153 90170 107565 115443 128270 129078 135255 162306 192405 215130 230886 270510 322695 384810 405765 577215 645390 811530 910717 1154430 1821434 2732151 4553585 5464302 8196453 9107170 13660755 16392906 27321510 40982265 81964530