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1066645400 = 23525333227
BaseRepresentation
bin111111100100111…
…011011110011000
32202100002012102012
4333210323132120
54141030123100
6253501525052
735301223232
oct7744733630
92670065365
101066645400
114a8103527
12259273788
1313cca2b32
14a1939252
1563998135
hex3f93b798

1066645400 has 24 divisors (see below), whose sum is σ = 2479951020. Its totient is φ = 426658080.

The previous prime is 1066645379. The next prime is 1066645403. The reversal of 1066645400 is 45466601.

It is a super-2 number, since 2×10666454002 = 2275464818682320000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066645403) 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 5 ways as a sum of consecutive naturals, for example, 2666414 + ... + 2666813.

Almost surely, 21066645400 is an apocalyptic number.

1066645400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1066645400 is an abundant number, since it is smaller than the sum of its proper divisors (1413305620).

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

1066645400 is a wasteful number, since it uses less digits than its factorization.

1066645400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5333243 (or 5333234 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 1066645400 is about 32659.5376574746. The cubic root of 1066645400 is about 1021.7391194599.

The spelling of 1066645400 in words is "one billion, sixty-six million, six hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 5333227 10666454 21332908 26666135 42665816 53332270 106664540 133330675 213329080 266661350 533322700 1066645400