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1066106550 = 235217224593
BaseRepresentation
bin111111100010110…
…111111010110110
32202022001211020210
4333202313322312
54140410402200
6253442210250
735263520235
oct7742677266
92668054223
101066106550
114a78756a3
12259053986
1313cb447a2
14a1838b1c
15638dd650
hex3f8b7eb6

1066106550 has 72 divisors (see below), whose sum is σ = 2808733176. Its totient is φ = 267560960.

The previous prime is 1066106539. The next prime is 1066106609. The reversal of 1066106550 is 556016601.

It is a super-2 number, since 2×10661065502 = 2273166351905805000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent 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, 31054 + ... + 55646.

It is an arithmetic number, because the mean of its divisors is an integer number (39010183).

Almost surely, 21066106550 is an apocalyptic number.

1066106550 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 1066106550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404366588).

1066106550 is an abundant number, since it is smaller than the sum of its proper divisors (1742626626).

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

1066106550 is a wasteful number, since it uses less digits than its factorization.

1066106550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24642 (or 24620 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 1066106550 is about 32651.2871109241. The cubic root of 1066106550 is about 1021.5670357595.

The spelling of 1066106550 in words is "one billion, sixty-six million, one hundred six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 170 255 289 425 510 578 850 867 1275 1445 1734 2550 2890 4335 7225 8670 14450 21675 24593 43350 49186 73779 122965 147558 245930 368895 418081 614825 737790 836162 1229650 1254243 1844475 2090405 2508486 3688950 4180810 6271215 7107377 10452025 12542430 14214754 20904050 21322131 31356075 35536885 42644262 62712150 71073770 106610655 177684425 213221310 355368850 533053275 1066106550