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1066615120 = 24513332689
BaseRepresentation
bin111111100100110…
…100000101010000
32202100000122212201
4333210310011100
54141023140440
6253501132544
735301036034
oct7744640520
92670018781
101066615120
114a80927aa
1225925a154
1313cc9210c
14a192c1c4
156398e19a
hex3f934150

1066615120 has 20 divisors (see below), whose sum is σ = 2479880340. Its totient is φ = 426646016.

The previous prime is 1066615117. The next prime is 1066615177. The reversal of 1066615120 is 215166601.

It can be written as a sum of positive squares in 2 ways, for example, as 725548096 + 341067024 = 26936^2 + 18468^2 .

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

It is a super-2 number, since 2×10666151202 = 2275335628425228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6666265 + ... + 6666424.

It is an arithmetic number, because the mean of its divisors is an integer number (123994017).

Almost surely, 21066615120 is an apocalyptic number.

1066615120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1066615120 is an abundant number, since it is smaller than the sum of its proper divisors (1413265220).

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

1066615120 is a wasteful number, since it uses less digits than its factorization.

1066615120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13332702 (or 13332696 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 1066615120 is about 32659.0740836295. The cubic root of 1066615120 is about 1021.7294509692.

The spelling of 1066615120 in words is "one billion, sixty-six million, six hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 13332689 26665378 53330756 66663445 106661512 133326890 213323024 266653780 533307560 1066615120