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1066892190 = 235721355829
BaseRepresentation
bin111111100101110…
…111101110011110
32202100112201221120
4333211313232132
54141111022230
6253511111410
735303301600
oct7745675636
92670481846
101066892190
114a8261991
12259372566
1314005b270
14a19a1170
15639e6310
hex3f977b9e

1066892190 has 96 divisors (see below), whose sum is σ = 3207768480. Its totient is φ = 225098496.

The previous prime is 1066892149. The next prime is 1066892207. The reversal of 1066892190 is 912986601.

It is a super-2 number, since 2×10668921902 = 2276517890165992200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8805 + ... + 47024.

It is an arithmetic number, because the mean of its divisors is an integer number (33414255).

Almost surely, 21066892190 is an apocalyptic number.

1066892190 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 1066892190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603884240).

1066892190 is an abundant number, since it is smaller than the sum of its proper divisors (2140876290).

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

1066892190 is a wasteful number, since it uses less digits than its factorization.

1066892190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55866 (or 55859 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 1066892190 is about 32663.3156614573. The cubic root of 1066892190 is about 1021.8179133911.

The spelling of 1066892190 in words is "one billion, sixty-six million, eight hundred ninety-two thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 147 182 195 210 245 273 294 390 455 490 546 637 735 910 1274 1365 1470 1911 2730 3185 3822 6370 9555 19110 55829 111658 167487 279145 334974 390803 558290 725777 781606 837435 1172409 1451554 1674870 1954015 2177331 2344818 2735621 3628885 3908030 4354662 5080439 5471242 5862045 7257770 8206863 10160878 10886655 11724090 13678105 15241317 16413726 21773310 25402195 27356210 30482634 35563073 41034315 50804390 71126146 76206585 82068630 106689219 152413170 177815365 213378438 355630730 533446095 1066892190