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106666650 = 23252293809
BaseRepresentation
bin1100101101110…
…01101010011010
321102201020010200
412112321222122
5204301313100
614330123030
72433436326
oct626715232
9242636120
10106666650
1155235262
122b880476
131913907c
1410248986
15956ee00
hex65b9a9a

106666650 has 72 divisors (see below), whose sum is σ = 287911260. Its totient is φ = 28312320.

The previous prime is 106666643. The next prime is 106666673. The reversal of 106666650 is 56666601.

It can be written as a sum of positive squares in 6 ways, for example, as 87665769 + 19000881 = 9363^2 + 4359^2 .

It is a super-2 number, since 2×1066666502 = 22755548444445000, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 131446 + ... + 132254.

Almost surely, 2106666650 is an apocalyptic number.

106666650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106666650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143955630).

106666650 is an abundant number, since it is smaller than the sum of its proper divisors (181244610).

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

106666650 is a wasteful number, since it uses less digits than its factorization.

106666650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1112 counting only the distinct ones).

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

The square root of 106666650 is about 10327.9547830149. The cubic root of 106666650 is about 474.2524158980.

The spelling of 106666650 in words is "one hundred six million, six hundred sixty-six thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 293 450 586 809 879 1465 1618 1758 2427 2637 2930 4045 4395 4854 5274 7281 7325 8090 8790 12135 13185 14562 14650 20225 21975 24270 26370 36405 40450 43950 60675 65925 72810 121350 131850 182025 237037 364050 474074 711111 1185185 1422222 2133333 2370370 3555555 4266666 5925925 7111110 10666665 11851850 17777775 21333330 35555550 53333325 106666650