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10666080 = 25345823
BaseRepresentation
bin101000101100…
…000001100000
3202001220010000
4220230001200
510212303310
61020340000
7156442305
oct50540140
922056100
1010666080
116025647
1236a4600
132295ab9
1415b90ac
15e0a4c0
hexa2c060

10666080 has 120 divisors (see below), whose sum is σ = 37688112. Its totient is φ = 2840832.

The previous prime is 10666069. The next prime is 10666093. The reversal of 10666080 is 8066601.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×106660802 = 227530525132800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12549 + ... + 13371.

Almost surely, 210666080 is an apocalyptic number.

10666080 is a gapful number since it is divisible by the number (10) 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 10666080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18844056).

10666080 is an abundant number, since it is smaller than the sum of its proper divisors (27022032).

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

10666080 is an equidigital number, since it uses as much as digits as its factorization.

10666080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10666080 is about 3265.8965078520. The cubic root of 10666080 is about 220.1244474968.

The spelling of 10666080 in words is "ten million, six hundred sixty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 823 864 1080 1296 1440 1620 1646 2160 2469 2592 3240 3292 4115 4320 4938 6480 6584 7407 8230 9876 12345 12960 13168 14814 16460 19752 22221 24690 26336 29628 32920 37035 39504 44442 49380 59256 65840 66663 74070 79008 88884 98760 111105 118512 131680 133326 148140 177768 197520 222210 237024 266652 296280 333315 355536 395040 444420 533304 592560 666630 711072 888840 1066608 1185120 1333260 1777680 2133216 2666520 3555360 5333040 10666080