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1066365540 = 223351974751
BaseRepresentation
bin111111100011110…
…111001001100100
32202022112222112000
4333203313021210
54140442144130
6253451525300
735265646302
oct7743671144
92668488460
101066365540
114a7a32239
12259159830
1313cc05636
14a18a5272
1563940260
hex3f8f7264

1066365540 has 48 divisors (see below), whose sum is σ = 3317583360. Its totient is φ = 284364000.

The previous prime is 1066365539. The next prime is 1066365541. The reversal of 1066365540 is 455636601.

1066365540 is a `hidden beast` number, since 10 + 6 + 636 + 5 + 5 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1066365539) and next prime (1066365541).

It is a super-2 number, since 2×10663655402 = 2274270929798983200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1066365495 and 1066365504.

It is not an unprimeable number, because it can be changed into a prime (1066365541) 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, 986836 + ... + 987915.

It is an arithmetic number, because the mean of its divisors is an integer number (69116320).

Almost surely, 21066365540 is an apocalyptic number.

1066365540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1066365540 is an abundant number, since it is smaller than the sum of its proper divisors (2251217820).

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

1066365540 is a wasteful number, since it uses less digits than its factorization.

1066365540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974769 (or 1974761 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 1066365540 is about 32655.2528699442. The cubic root of 1066365540 is about 1021.6497523901.

The spelling of 1066365540 in words is "one billion, sixty-six million, three hundred sixty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1974751 3949502 5924253 7899004 9873755 11848506 17772759 19747510 23697012 29621265 35545518 39495020 53318277 59242530 71091036 88863795 106636554 118485060 177727590 213273108 266591385 355455180 533182770 1066365540