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1066869216 = 253273143397
BaseRepresentation
bin111111100101110…
…010000111100000
32202100111120102200
4333211302013200
54141104303331
6253510413200
735303144610
oct7745620740
92670446380
101066869216
114a82466a6
12259361200
1314005097a
14a1996a40
15639de5e6
hex3f9721e0

1066869216 has 288 divisors, whose sum is σ = 3671635968. Its totient is φ = 287400960.

The previous prime is 1066869149. The next prime is 1066869229. The reversal of 1066869216 is 6129686601.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10668692162 = 2276419848096909312, 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 47 ways as a sum of consecutive naturals, for example, 2687130 + ... + 2687526.

It is an arithmetic number, because the mean of its divisors is an integer number (12748736).

Almost surely, 21066869216 is an apocalyptic number.

1066869216 is a gapful number since it is divisible by the number (16) 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 1066869216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835817984).

1066869216 is an abundant number, since it is smaller than the sum of its proper divisors (2604766752).

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

1066869216 is a wasteful number, since it uses less digits than its factorization.

1066869216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1066869216 is about 32662.9639806310. The cubic root of 1066869216 is about 1021.8105788752.

The spelling of 1066869216 in words is "one billion, sixty-six million, eight hundred sixty-nine thousand, two hundred sixteen".