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166056660 = 2232571111981
BaseRepresentation
bin10011110010111…
…01001011010100
3102120110112220200
421321131023110
5320002303120
624251100500
74054313130
oct1171351324
9376415820
10166056660
1185809910
1247741730
13285314a3
14180a83c0
15e8a1e90
hex9e5d2d4

166056660 has 144 divisors (see below), whose sum is σ = 628048512. Its totient is φ = 34502400.

The previous prime is 166056647. The next prime is 166056661. The reversal of 166056660 is 66650661.

166056660 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

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

166056660 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166056661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7870 + ... + 19850.

It is an arithmetic number, because the mean of its divisors is an integer number (4361448).

Almost surely, 2166056660 is an apocalyptic number.

166056660 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 166056660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314024256).

166056660 is an abundant number, since it is smaller than the sum of its proper divisors (461991852).

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

166056660 is a wasteful number, since it uses less digits than its factorization.

166056660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12014 (or 12009 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 166056660 is about 12886.2973735670. The cubic root of 166056660 is about 549.6489881519.

The spelling of 166056660 in words is "one hundred sixty-six million, fifty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 11981 13860 23962 35943 47924 59905 71886 83867 107829 119810 131791 143772 167734 179715 215658 239620 251601 263582 335468 359430 395373 419335 431316 503202 527164 539145 658955 718860 754803 790746 838670 922537 1006404 1078290 1186119 1258005 1317910 1509606 1581492 1677340 1845074 1976865 2156580 2372238 2516010 2635820 2767611 3019212 3690148 3774015 3953730 4612685 4744476 5032020 5535222 5930595 7548030 7907460 8302833 9225370 11070444 11861190 13838055 15096060 16605666 18450740 23722380 27676110 33211332 41514165 55352220 83028330 166056660