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1066895424 = 263272103367
BaseRepresentation
bin111111100101111…
…000100001000000
32202100112220101100
4333211320201000
54141111123144
6253511134400
735303314200
oct7745704100
92670486340
101066895424
114a8264361
12259374400
1314005c88a
14a19a2400
15639e7269
hex3f978840

1066895424 has 252 divisors, whose sum is σ = 3601663104. Its totient is φ = 301045248.

The previous prime is 1066895369. The next prime is 1066895491. The reversal of 1066895424 is 4245986601.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×10668954242 = 2276531691504279552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1066895424.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2906889 + ... + 2907255.

Almost surely, 21066895424 is an apocalyptic number.

1066895424 is a gapful number since it is divisible by the number (14) 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 1066895424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800831552).

1066895424 is an abundant number, since it is smaller than the sum of its proper divisors (2534767680).

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

1066895424 is a wasteful number, since it uses less digits than its factorization.

1066895424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1066895424 is about 32663.3651664981. The cubic root of 1066895424 is about 1021.8189458465.

The spelling of 1066895424 in words is "one billion, sixty-six million, eight hundred ninety-five thousand, four hundred twenty-four".