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1066314256 = 24717560039
BaseRepresentation
bin111111100011101…
…010101000010000
32202022110101011121
4333203222220100
54140434024011
6253450452024
735265343630
oct7743525020
92668411147
101066314256
114a79a7757
12259134014
1313cbb81a7
14a18906c0
156392ee71
hex3f8eaa10

1066314256 has 40 divisors (see below), whose sum is σ = 2500018560. Its totient is φ = 430109184.

The previous prime is 1066314241. The next prime is 1066314287. The reversal of 1066314256 is 6524136601.

1066314256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10663142562 = 2274052185097667072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278116 + ... + 281923.

It is an arithmetic number, because the mean of its divisors is an integer number (62500464).

Almost surely, 21066314256 is an apocalyptic number.

1066314256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1066314256 is an abundant number, since it is smaller than the sum of its proper divisors (1433704304).

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

1066314256 is a wasteful number, since it uses less digits than its factorization.

1066314256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560071 (or 560065 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 1066314256 is about 32654.4676269573. The cubic root of 1066314256 is about 1021.6333742897.

The spelling of 1066314256 in words is "one billion, sixty-six million, three hundred fourteen thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 560039 1120078 2240156 3920273 4480312 7840546 8960624 9520663 15681092 19041326 31362184 38082652 62724368 66644641 76165304 133289282 152330608 266578564 533157128 1066314256