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1066645520 = 245293114831
BaseRepresentation
bin111111100100111…
…011100000010000
32202100002012120122
4333210323200100
54141030124040
6253501525412
735301223463
oct7744734020
92670065518
101066645520
114a8103626
12259273868
1313cca2bc5
14a19392da
15639981b5
hex3f93b810

1066645520 has 80 divisors (see below), whose sum is σ = 2648401920. Its totient is φ = 398630400.

The previous prime is 1066645519. The next prime is 1066645523. The reversal of 1066645520 is 255466601.

1066645520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10666455202 = 2275465330672140800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1066645523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64505 + ... + 79335.

It is an arithmetic number, because the mean of its divisors is an integer number (33105024).

Almost surely, 21066645520 is an apocalyptic number.

1066645520 is a gapful number since it is divisible by the number (10) 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 1066645520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324200960).

1066645520 is an abundant number, since it is smaller than the sum of its proper divisors (1581756400).

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

1066645520 is a wasteful number, since it uses less digits than its factorization.

1066645520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14904 (or 14898 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 1066645520 is about 32659.5394946101. The cubic root of 1066645520 is about 1021.7391577759.

The spelling of 1066645520 in words is "one billion, sixty-six million, six hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 31 40 58 62 80 116 124 145 155 232 248 290 310 464 496 580 620 899 1160 1240 1798 2320 2480 3596 4495 7192 8990 14384 14831 17980 29662 35960 59324 71920 74155 118648 148310 237296 296620 430099 459761 593240 860198 919522 1186480 1720396 1839044 2150495 2298805 3440792 3678088 4300990 4597610 6881584 7356176 8601980 9195220 13333069 17203960 18390440 26666138 34407920 36780880 53332276 66665345 106664552 133330690 213329104 266661380 533322760 1066645520