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1076433666 = 237211230259
BaseRepresentation
bin100000000101001…
…0001001100000010
32210000111111101120
41000022101030002
54201031334131
6254451413110
735450351400
oct10012211402
92700444346
101076433666
11502689600
122605b4196
1314201c1c9
14a2d66470
156477d496
hex40291302

1076433666 has 72 divisors (see below), whose sum is σ = 2752812720. Its totient is φ = 279583920.

The previous prime is 1076433661. The next prime is 1076433667. The reversal of 1076433666 is 6663346701.

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

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

It is not an unprimeable number, because it can be changed into a prime (1076433661) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20445 + ... + 50703.

It is an arithmetic number, because the mean of its divisors is an integer number (38233510).

Almost surely, 21076433666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1076433666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376406360).

1076433666 is an abundant number, since it is smaller than the sum of its proper divisors (1676379054).

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

1076433666 is a wasteful number, since it uses less digits than its factorization.

1076433666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30300 (or 30282 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The square root of 1076433666 is about 32809.0485384749. The cubic root of 1076433666 is about 1024.8549994371.

The spelling of 1076433666 in words is "one billion, seventy-six million, four hundred thirty-three thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 121 147 154 231 242 294 363 462 539 726 847 1078 1617 1694 2541 3234 5082 5929 11858 17787 30259 35574 60518 90777 181554 211813 332849 423626 635439 665698 998547 1270878 1482691 1997094 2329943 2965382 3661339 4448073 4659886 6989829 7322678 8896146 10984017 13979658 16309601 21968034 25629373 32619202 48928803 51258746 76888119 97857606 153776238 179405611 358811222 538216833 1076433666