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1066313460 = 2235170910399
BaseRepresentation
bin111111100011101…
…010011011110100
32202022110100002010
4333203222123310
54140434012320
6253450444220
735265341412
oct7743523364
92668410063
101066313460
114a79a70a3
12259133670
1313cbb7a14
14a18902b2
156392eae0
hex3f8ea6f4

1066313460 has 48 divisors (see below), whose sum is σ = 2987712000. Its totient is φ = 284156544.

The previous prime is 1066313453. The next prime is 1066313467. The reversal of 1066313460 is 643136601.

It is an interprime number because it is at equal distance from previous prime (1066313453) and next prime (1066313467).

It is a super-2 number, since 2×10663134602 = 2274048789954343200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066313467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97341 + ... + 107739.

It is an arithmetic number, because the mean of its divisors is an integer number (62244000).

Almost surely, 21066313460 is an apocalyptic number.

1066313460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1066313460 is an abundant number, since it is smaller than the sum of its proper divisors (1921398540).

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

1066313460 is a wasteful number, since it uses less digits than its factorization.

1066313460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12120 (or 12118 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 1066313460 is about 32654.4554387299. The cubic root of 1066313460 is about 1021.6331200743.

The spelling of 1066313460 in words is "one billion, sixty-six million, three hundred thirteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1709 3418 5127 6836 8545 10254 10399 17090 20508 20798 25635 31197 34180 41596 51270 51995 62394 102540 103990 124788 155985 207980 311970 623940 17771891 35543782 53315673 71087564 88859455 106631346 177718910 213262692 266578365 355437820 533156730 1066313460