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81666640 = 245111753103
BaseRepresentation
bin1001101111000…
…10001001010000
312200200002120101
410313202021100
5131401313030
612034222144
72011104106
oct467421120
9180602511
1081666640
114210a3a0
1223424954
1313bc4b73
14abbbc76
1572827ca
hex4de2250

81666640 has 160 divisors (see below), whose sum is σ = 225628416. Its totient is φ = 27156480.

The previous prime is 81666631. The next prime is 81666647. The reversal of 81666640 is 4666618.

It is a self number, because there is not a number n which added to its sum of digits gives 81666640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81666647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 792829 + ... + 792931.

Almost surely, 281666640 is an apocalyptic number.

81666640 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 81666640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112814208).

81666640 is an abundant number, since it is smaller than the sum of its proper divisors (143961776).

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

81666640 is a wasteful number, since it uses less digits than its factorization.

81666640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 81666640 is about 9036.9596657283. The cubic root of 81666640 is about 433.8586187460.

The spelling of 81666640 in words is "eighty-one million, six hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 53 55 68 80 85 88 103 106 110 136 170 176 187 206 212 220 265 272 340 374 412 424 440 515 530 583 680 748 824 848 880 901 935 1030 1060 1133 1166 1360 1496 1648 1751 1802 1870 2060 2120 2266 2332 2915 2992 3502 3604 3740 4120 4240 4505 4532 4664 5459 5665 5830 7004 7208 7480 8240 8755 9010 9064 9328 9911 10918 11330 11660 14008 14416 14960 17510 18020 18128 19261 19822 21836 22660 23320 27295 28016 35020 36040 38522 39644 43672 45320 46640 49555 54590 60049 70040 72080 77044 79288 87344 90640 92803 96305 99110 109180 120098 140080 154088 158576 185606 192610 198220 218360 240196 300245 308176 371212 385220 396440 436720 464015 480392 600490 742424 770440 792880 928030 960784 1020833 1200980 1484848 1540880 1856060 2041666 2401960 3712120 4083332 4803920 5104165 7424240 8166664 10208330 16333328 20416660 40833320 81666640