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1066095772 = 227175574021
BaseRepresentation
bin111111100010110…
…101010010011100
32202022001021110121
4333202311102130
54140410031042
6253442044324
735263443640
oct7742652234
92668037417
101066095772
114a7868595
122590496a4
1313cb3c901
14a1834c20
15638da367
hex3f8b549c

1066095772 has 48 divisors (see below), whose sum is σ = 2262230208. Its totient is φ = 429143040.

The previous prime is 1066095761. The next prime is 1066095773. The reversal of 1066095772 is 2775906601.

It is a super-2 number, since 2×10660957722 = 2273120390152551968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066095773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263122 + ... + 267142.

It is an arithmetic number, because the mean of its divisors is an integer number (47129796).

Almost surely, 21066095772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066095772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131115104).

1066095772 is an abundant number, since it is smaller than the sum of its proper divisors (1196134436).

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

1066095772 is a wasteful number, since it uses less digits than its factorization.

1066095772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4606 (or 4604 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 43.

The square root of 1066095772 is about 32651.1220634146. The cubic root of 1066095772 is about 1021.5635931747.

The spelling of 1066095772 in words is "one billion, sixty-six million, ninety-five thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 557 1114 2228 3899 4021 7798 8042 9469 15596 16084 18938 28147 37876 56294 66283 68357 112588 132566 136714 265132 273428 478499 956998 1913996 2239697 4479394 8958788 15677879 31355758 38074849 62711516 76149698 152299396 266523943 533047886 1066095772