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1066966060 = 225314613733
BaseRepresentation
bin111111100110001…
…001110000101100
32202100200111021111
4333212021300230
54141120403220
6253512441404
735304030136
oct7746116054
92670614244
101066966060
114a8302436
122593a9264
13140085a84
14a19c0056
1563a0d15a
hex3f989c2c

1066966060 has 48 divisors (see below), whose sum is σ = 2318545152. Its totient is φ = 412012800.

The previous prime is 1066966039. The next prime is 1066966063. The reversal of 1066966060 is 606696601.

It is a happy number.

It is a super-2 number, since 2×10669660602 = 2276833146383847200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1066966063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283954 + ... + 287686.

It is an arithmetic number, because the mean of its divisors is an integer number (48303024).

Almost surely, 21066966060 is an apocalyptic number.

1066966060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066966060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159272576).

1066966060 is an abundant number, since it is smaller than the sum of its proper divisors (1251579092).

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

1066966060 is a wasteful number, since it uses less digits than its factorization.

1066966060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4234 (or 4232 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 1066966060 is about 32664.4464211473. The cubic root of 1066966060 is about 1021.8414958886.

It can be divided in two parts, 10669 and 66060, that added together give a square (76729 = 2772).

The spelling of 1066966060 in words is "one billion, sixty-six million, nine hundred sixty-six thousand, sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 461 620 922 1844 2305 3733 4610 7466 9220 14291 14932 18665 28582 37330 57164 71455 74660 115723 142910 231446 285820 462892 578615 1157230 1720913 2314460 3441826 6883652 8604565 17209130 34418260 53348303 106696606 213393212 266741515 533483030 1066966060