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1066855120 = 24513335689
BaseRepresentation
bin111111100101101…
…110101011010000
32202100110212002121
4333211232223100
54141103330440
6253510224024
735303055532
oct7745565320
92670425077
101066855120
114a8237051
12259355014
13140047426
14a1991852
15639da34a
hex3f96ead0

1066855120 has 20 divisors (see below), whose sum is σ = 2480438340. Its totient is φ = 426742016.

The previous prime is 1066855117. The next prime is 1066855123. The reversal of 1066855120 is 215586601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1066855117) and next prime (1066855123).

It can be written as a sum of positive squares in 2 ways, for example, as 143424576 + 923430544 = 11976^2 + 30388^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×10668551202 = 2276359694140428800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066855123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6667765 + ... + 6667924.

It is an arithmetic number, because the mean of its divisors is an integer number (124021917).

Almost surely, 21066855120 is an apocalyptic number.

1066855120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1066855120 is an abundant number, since it is smaller than the sum of its proper divisors (1413583220).

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

1066855120 is a wasteful number, since it uses less digits than its factorization.

1066855120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13335702 (or 13335696 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 1066855120 is about 32662.7482003582. The cubic root of 1066855120 is about 1021.8060786343.

The spelling of 1066855120 in words is "one billion, sixty-six million, eight hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 13335689 26671378 53342756 66678445 106685512 133356890 213371024 266713780 533427560 1066855120