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1066605540 = 22357211134359
BaseRepresentation
bin111111100100110…
…001101111100100
32202100000011201220
4333210301233210
54141022334130
6253501020340
735300666100
oct7744615744
92670004656
101066605540
114a8086590
122592546b0
1313cc8a950
14a1928900
156398b410
hex3f931be4

1066605540 has 576 divisors, whose sum is σ = 4247147520. Its totient is φ = 196439040.

The previous prime is 1066605539. The next prime is 1066605571. The reversal of 1066605540 is 455066601.

It is a super-2 number, since 2×10666055402 = 2275294755917383200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18078031 + ... + 18078089.

It is an arithmetic number, because the mean of its divisors is an integer number (7373520).

Almost surely, 21066605540 is an apocalyptic number.

1066605540 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 1066605540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123573760).

1066605540 is an abundant number, since it is smaller than the sum of its proper divisors (3180541980).

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

1066605540 is a wasteful number, since it uses less digits than its factorization.

1066605540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 1066605540 is about 32658.9274165579. The cubic root of 1066605540 is about 1021.7263920097.

It can be divided in two parts, 1066 and 605540, that added together give a palindrome (606606).

The spelling of 1066605540 in words is "one billion, sixty-six million, six hundred five thousand, five hundred forty".