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1066276806 = 237311037951
BaseRepresentation
bin111111100011100…
…001011111000110
32202022101110210120
4333203201133012
54140431324211
6253450002410
735265126510
oct7743413706
92668343716
101066276806
114a7981601
12259116406
1313cba412a
14a1880bb0
1563923d06
hex3f8e17c6

1066276806 has 64 divisors (see below), whose sum is σ = 2540568576. Its totient is φ = 291924000.

The previous prime is 1066276801. The next prime is 1066276807. The reversal of 1066276806 is 6086726601.

It is a happy number.

It is a super-2 number, since 2×10662768062 = 2273892454027123272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066276801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130131 + ... + 138081.

It is an arithmetic number, because the mean of its divisors is an integer number (39696384).

Almost surely, 21066276806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066276806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270284288).

1066276806 is an abundant number, since it is smaller than the sum of its proper divisors (1474291770).

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

1066276806 is a wasteful number, since it uses less digits than its factorization.

1066276806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8097.

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 1066276806 is about 32653.8941934955. The cubic root of 1066276806 is about 1021.6214138951.

The spelling of 1066276806 in words is "one billion, sixty-six million, two hundred seventy-six thousand, eight hundred six".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 103 186 206 217 309 434 618 651 721 1302 1442 2163 3193 4326 6386 7951 9579 15902 19158 22351 23853 44702 47706 55657 67053 111314 134106 166971 246481 333942 492962 739443 818953 1478886 1637906 1725367 2456859 3450734 4913718 5176101 5732671 10352202 11465342 17198013 25387543 34396026 50775086 76162629 152325258 177712801 355425602 533138403 1066276806