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1066684248 = 233372337829
BaseRepresentation
bin111111100101000…
…100111101011000
32202100011011201000
4333211010331120
54141032343443
6253502425000
735301444420
oct7745047530
92670134630
101066684248
114a812a733
12259292160
1313ccb7716
14a1949480
15639a48d3
hex3f944f58

1066684248 has 256 divisors, whose sum is σ = 3633408000. Its totient is φ = 283295232.

The previous prime is 1066684231. The next prime is 1066684253. The reversal of 1066684248 is 8424866601.

It is a super-2 number, since 2×10666842482 = 2275630569862651008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1286298 + ... + 1287126.

It is an arithmetic number, because the mean of its divisors is an integer number (14193000).

Almost surely, 21066684248 is an apocalyptic number.

1066684248 is a gapful number since it is divisible by the number (18) 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 1066684248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816704000).

1066684248 is an abundant number, since it is smaller than the sum of its proper divisors (2566723752).

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

1066684248 is a wasteful number, since it uses less digits than its factorization.

1066684248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 1066684248 is about 32660.1323940979. The cubic root of 1066684248 is about 1021.7515234695.

The spelling of 1066684248 in words is "one billion, sixty-six million, six hundred eighty-four thousand, two hundred forty-eight".