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1066542660 = 2233523791087
BaseRepresentation
bin111111100100100…
…010011001000100
32202022212222111000
4333210202121010
54141013331120
6253455413300
735300314551
oct7744423104
92668788430
101066542660
114a8043317
12259224230
1313cc68141
14a190da28
1563977990
hex3f922644

1066542660 has 192 divisors, whose sum is σ = 3509452800. Its totient is φ = 268354944.

The previous prime is 1066542611. The next prime is 1066542679. The reversal of 1066542660 is 662456601.

It is a happy number.

1066542660 is a `hidden beast` number, since 106 + 6 + 542 + 6 + 6 + 0 = 666.

It is a super-2 number, since 2×10665426602 = 2275026491199751200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 980637 + ... + 981723.

It is an arithmetic number, because the mean of its divisors is an integer number (18278400).

Almost surely, 21066542660 is an apocalyptic number.

1066542660 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 1066542660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754726400).

1066542660 is an abundant number, since it is smaller than the sum of its proper divisors (2442910140).

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

1066542660 is a wasteful number, since it uses less digits than its factorization.

1066542660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1066542660 is about 32657.9647253162. The cubic root of 1066542660 is about 1021.7063135409.

It can be divided in two parts, 10665 and 42660, that multiplied together give a square (454968900 = 213302).

The spelling of 1066542660 in words is "one billion, sixty-six million, five hundred forty-two thousand, six hundred sixty".