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1066349010 = 23535544967
BaseRepresentation
bin111111100011110…
…011000111010010
32202022112010211210
4333203303013102
54140441132020
6253451320550
735265550146
oct7743630722
92668463753
101066349010
114a7a20881
12259150156
1313cbcac5c
14a189d226
156393a3e0
hex3f8f31d2

1066349010 has 16 divisors (see below), whose sum is σ = 2559237696. Its totient is φ = 284359728.

The previous prime is 1066348993. The next prime is 1066349051. The reversal of 1066349010 is 109436601.

It is a super-2 number, since 2×10663490102 = 2274200422255960200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 35544967 = 1066349010 / (1 + 0 + 6 + 6 + 3 + 4 + 9 + 0 + 1 + 0).

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, 17772454 + ... + 17772513.

It is an arithmetic number, because the mean of its divisors is an integer number (159952356).

Almost surely, 21066349010 is an apocalyptic number.

1066349010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1066349010 is an abundant number, since it is smaller than the sum of its proper divisors (1492888686).

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

1066349010 is a wasteful number, since it uses less digits than its factorization.

1066349010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35544977.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 1066349010 is about 32654.9997703261. Note that the first 3 decimals coincide. The cubic root of 1066349010 is about 1021.6444734131.

The spelling of 1066349010 in words is "one billion, sixty-six million, three hundred forty-nine thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 35544967 71089934 106634901 177724835 213269802 355449670 533174505 1066349010